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Lösung:",[2016,2017,2018,2552,2983],"ul",{},[2019,2020,2021,2205,2206,2551],"li",{},[573,2022,2024,2055],{"className":2023},[576],[573,2025,2027],{"className":2026},[580],[582,2028,2029],{"xmlns":584},[586,2030,2031,2052],{},[589,2032,2033,2043,2045,2047,2050],{},[1643,2034,2035,2041],{},[600,2036,2037,2039],{},[592,2038,1052],{},[876,2040,878],{},[876,2042,1667],{},[596,2044,1641],{},[592,2046,1059],{},[596,2048,2049],{},">",[876,2051,1079],{},[614,2053,2054],{"encoding":616},"\\frac{a^2}{4} - b > 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zwei verschiedene reelle Lösungen, ",[573,2207,2209,2272],{"className":2208},[576],[573,2210,2212],{"className":2211},[580],[582,2213,2214],{"xmlns":584},[586,2215,2216,2269],{},[589,2217,2218,2220,2222,2229,2231,2245,2247,2253,2255],{},[592,2219,594],{},[596,2221,598],{},[1623,2223,2224,2227],{},[592,2225,2226],{},"C",[876,2228,1631],{},[730,2230,732],{},[600,2232,2233,2235],{},[592,2234,604],{},[589,2236,2237,2243],{},[1623,2238,2239,2241],{},[592,2240,609],{},[876,2242,1631],{},[592,2244,612],{},[596,2246,1049],{},[1623,2248,2249,2251],{},[592,2250,2226],{},[876,2252,878],{},[730,2254,732],{},[600,2256,2257,2259],{},[592,2258,604],{},[589,2260,2261,2267],{},[1623,2262,2263,2265],{},[592,2264,609],{},[876,2266,878],{},[592,2268,612],{},[614,2270,2271],{"encoding":616},"y = C_1\\,e^{\\lambda_1 x} + C_2\\,e^{\\lambda_2 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"encoding":616},"\\frac{a^2}{4} - b = 0",[573,2588,2590,2699,2717],{"className":2589,"ariaHidden":622},[621],[573,2591,2593,2596,2690,2693,2696],{"className":2592},[626],[573,2594],{"className":2595,"style":2064},[630],[573,2597,2599,2602,2687],{"className":2598},[635],[573,2600],{"className":2601},[1096,1766],[573,2603,2605],{"className":2604},[1643],[573,2606,2608,2679],{"className":2607},[670,1697],[573,2609,2611,2676],{"className":2610},[674],[573,2612,2614,2628,2636],{"className":2613,"style":2083},[678],[573,2615,2616,2619],{"style":2086},[573,2617],{"className":2618,"style":1786},[685],[573,2620,2622],{"className":2621},[690,691,692,693],[573,2623,2625],{"className":2624},[635,693],[573,2626,1667],{"className":2627},[635,693],[573,2629,2630,2633],{"style":1795},[573,2631],{"className":2632,"style":1786},[685],[573,2634],{"className":2635,"style":1803},[1802],[573,2637,2638,2641],{"style":2109},[573,2639],{"className":2640,"style":1786},[685],[573,2642,2644],{"className":2643},[690,691,692,693],[573,2645,2647],{"className":2646},[635,693],[573,2648,2650,2653],{"className":2649},[635,693],[573,2651,1052],{"className":2652},[635,636,693],[573,2654,2656],{"className":2655},[666],[573,2657,2659],{"className":2658},[670],[573,2660,2662],{"className":2661},[674],[573,2663,2665],{"className":2664,"style":2137},[678],[573,2666,2667,2670],{"style":2140},[573,2668],{"className":2669,"style":2144},[685],[573,2671,2673],{"className":2672},[690,2148,2149,693],[573,2674,878],{"className":2675},[635,693],[573,2677,1731],{"className":2678},[1730],[573,2680,2682],{"className":2681},[674],[573,2683,2685],{"className":2684,"style":2162},[678],[573,2686],{},[573,2688],{"className":2689},[1172,1766],[573,2691],{"className":2692,"style":1131},[641],[573,2694,1641],{"className":2695},[1135],[573,2697],{"className":2698,"style":1131},[641],[573,2700,2702,2705,2708,2711,2714],{"className":2701},[626],[573,2703],{"className":2704,"style":1330},[630],[573,2706,1059],{"className":2707},[635,636],[573,2709],{"className":2710,"style":642},[641],[573,2712,598],{"className":2713},[646],[573,2715],{"className":2716,"style":642},[641],[573,2718,2720,2723],{"className":2719},[626],[573,2721],{"className":2722,"style":1227},[630],[573,2724,1079],{"className":2725},[635],": eine doppelte Lösung ",[573,2728,2730,2743],{"className":2729},[576],[573,2731,2733],{"className":2732},[580],[582,2734,2735],{"xmlns":584},[586,2736,2737,2741],{},[589,2738,2739],{},[592,2740,609],{},[614,2742,1320],{"encoding":616},[573,2744,2746],{"className":2745,"ariaHidden":622},[621],[573,2747,2749,2752],{"className":2748},[626],[573,2750],{"className":2751,"style":1330},[630],[573,2753,609],{"className":2754},[635,636],", ",[573,2757,2759,2809],{"className":2758},[576],[573,2760,2762],{"className":2761},[580],[582,2763,2764],{"xmlns":584},[586,2765,2766,2806],{},[589,2767,2768,2770,2772,2774,2780,2782,2788,2790,2792,2794,2796],{},[592,2769,594],{},[596,2771,598],{},[596,2773,1040],{"stretchy":1039},[1623,2775,2776,2778],{},[592,2777,2226],{},[876,2779,1631],{},[596,2781,1049],{},[1623,2783,2784,2786],{},[592,2785,2226],{},[876,2787,878],{},[730,2789,732],{},[592,2791,612],{},[596,2793,1062],{"stretchy":1039},[730,2795,732],{},[600,2797,2798,2800],{},[592,2799,604],{},[589,2801,2802,2804],{},[592,2803,609],{},[592,2805,612],{},[614,2807,2808],{"encoding":616},"y = (C_1 + C_2\\,x)\\,e^{\\lambda 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führt auf ",[573,3877,3879,3939],{"className":3878},[576],[573,3880,3882],{"className":3881},[580],[582,3883,3884],{"xmlns":584},[586,3885,3886,3936],{},[589,3887,3888,3894,3896,3908,3920,3922,3924,3926,3932,3934],{},[600,3889,3890,3892],{},[592,3891,609],{},[592,3893,3520],{},[596,3895,1049],{},[1623,3897,3898,3900],{},[592,3899,1052],{},[589,3901,3902,3904,3906],{},[592,3903,3520],{},[596,3905,1641],{},[876,3907,1631],{},[600,3909,3910,3912],{},[592,3911,609],{},[589,3913,3914,3916,3918],{},[592,3915,3520],{},[596,3917,1641],{},[876,3919,1631],{},[596,3921,1049],{},[596,3923,3597],{},[596,3925,1049],{},[1623,3927,3928,3930],{},[592,3929,1052],{},[876,3931,1079],{},[596,3933,598],{},[876,3935,1079],{},[614,3937,3938],{"encoding":616},"\\lambda^n + a_{n-1}\\lambda^{n-1} + \\ldots + a_0 = 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Eine ",[573,4174,4176,4189],{"className":4175},[576],[573,4177,4179],{"className":4178},[580],[582,4180,4181],{"xmlns":584},[586,4182,4183,4187],{},[589,4184,4185],{},[592,4186,1490],{},[614,4188,1490],{"encoding":616},[573,4190,4192],{"className":4191,"ariaHidden":622},[621],[573,4193,4195,4198],{"className":4194},[626],[573,4196],{"className":4197,"style":1330},[630],[573,4199,1490],{"className":4200,"style":1542},[635,636],"-fache Nullstelle ",[573,4203,4205,4218],{"className":4204},[576],[573,4206,4208],{"className":4207},[580],[582,4209,4210],{"xmlns":584},[586,4211,4212,4216],{},[589,4213,4214],{},[592,4215,609],{},[614,4217,1320],{"encoding":616},[573,4219,4221],{"className":4220,"ariaHidden":622},[621],[573,4222,4224,4227],{"className":4223},[626],[573,4225],{"className":4226,"style":1330},[630],[573,4228,609],{"className":4229},[635,636]," liefert die 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x}",[573,4332,4334],{"className":4333,"ariaHidden":622},[621],[573,4335,4337,4341,4376,4379,4382,4385,4388,4423,4426,4429,4432,4435,4438,4441,4479,4482],{"className":4336},[626],[573,4338],{"className":4339,"style":4340},[630],"height:1.0435em;vertical-align:-0.1944em;",[573,4342,4344,4347],{"className":4343},[635],[573,4345,604],{"className":4346},[635,636],[573,4348,4350],{"className":4349},[666],[573,4351,4353],{"className":4352},[670],[573,4354,4356],{"className":4355},[674],[573,4357,4359],{"className":4358,"style":656},[678],[573,4360,4361,4364],{"style":681},[573,4362],{"className":4363,"style":686},[685],[573,4365,4367],{"className":4366},[690,691,692,693],[573,4368,4370,4373],{"className":4369},[635,693],[573,4371,609],{"className":4372},[635,636,693],[573,4374,612],{"className":4375},[635,636,693],[573,4377,1634],{"className":4378},[1723],[573,4380],{"className":4381,"style":810},[641],[573,4383,612],{"className":4384},[635,636],[573,4386],{"className":4387,"style":810},[641],[573,4389,4391,4394],{"className":4390},[635],[573,4392,604],{"className":4393},[635,636],[573,4395,4397],{"className":4396},[666],[573,4398,4400],{"className":4399},[670],[573,4401,4403],{"className":4402},[674],[573,4404,4406],{"className":4405,"style":656},[678],[573,4407,4408,4411],{"style":681},[573,4409],{"className":4410,"style":686},[685],[573,4412,4414],{"className":4413},[690,691,692,693],[573,4415,4417,4420],{"className":4416},[635,693],[573,4418,609],{"className":4419},[635,636,693],[573,4421,612],{"className":4422},[635,636,693],[573,4424,1634],{"className":4425},[1723],[573,4427],{"className":4428,"style":810},[641],[573,4430,3597],{"className":4431},[3795],[573,4433],{"className":4434,"style":810},[641],[573,4436,1634],{"className":4437},[1723],[573,4439],{"className":4440,"style":810},[641],[573,4442,4444,4447],{"className":4443},[635],[573,4445,612],{"className":4446},[635,636],[573,4448,4450],{"className":4449},[666],[573,4451,4453],{"className":4452},[670],[573,4454,4456],{"className":4455},[674],[573,4457,4459],{"className":4458,"style":656},[678],[573,4460,4461,4464],{"style":681},[573,4462],{"className":4463,"style":686},[685],[573,4465,4467],{"className":4466},[690,691,692,693],[573,4468,4470,4473,4476],{"className":4469},[635,693],[573,4471,1490],{"className":4472,"style":1542},[635,636,693],[573,4474,1641],{"className":4475},[1135,693],[573,4477,1631],{"className":4478},[635,693],[573,4480],{"className":4481,"style":810},[641],[573,4483,4485,4488],{"className":4484},[635],[573,4486,604],{"className":4487},[635,636],[573,4489,4491],{"className":4490},[666],[573,4492,4494],{"className":4493},[670],[573,4495,4497],{"className":4496},[674],[573,4498,4500],{"className":4499,"style":656},[678],[573,4501,4502,4505],{"style":681},[573,4503],{"className":4504,"style":686},[685],[573,4506,4508],{"className":4507},[690,691,692,693],[573,4509,4511,4514],{"className":4510},[635,693],[573,4512,609],{"className":4513},[635,636,693],[573,4515,612],{"className":4516},[635,636,693],[559,4518,4520],{"id":4519},"beispiele","Beispiele",[564,4522,4523,3875,4700,4921,4922,2755,5015,5107],{},[573,4524,4526,4569],{"className":4525},[576],[573,4527,4529],{"className":4528},[580],[582,4530,4531],{"xmlns":584},[586,4532,4533,4566],{},[589,4534,4535,4545,4547,4550,4556,4558,4560,4562,4564],{},[600,4536,4537,4539],{},[592,4538,594],{},[589,4540,4541,4543],{},[596,4542,724],{"mathvariant":722},[596,4544,724],{"mathvariant":722},[596,4546,1641],{},[876,4548,4549],{},"3",[600,4551,4552,4554],{},[592,4553,594],{},[596,4555,724],{"mathvariant":722,"lspace":723,"rspace":723},[596,4557,1049],{},[876,4559,878],{},[592,4561,594],{},[596,4563,598],{},[876,4565,1079],{},[614,4567,4568],{"encoding":616},"y'' - 3y' + 2y = 0",[573,4570,4572,4619,4669,4691],{"className":4571,"ariaHidden":622},[621],[573,4573,4575,4578,4610,4613,4616],{"className":4574},[626],[573,4576],{"className":4577,"style":755},[630],[573,4579,4581,4584],{"className":4580},[635],[573,4582,594],{"className":4583,"style":637},[635,636],[573,4585,4587],{"className":4586},[666],[573,4588,4590],{"className":4589},[670],[573,4591,4593],{"className":4592},[674],[573,4594,4596],{"className":4595,"style":774},[678],[573,4597,4598,4601],{"style":681},[573,4599],{"className":4600,"style":686},[685],[573,4602,4604],{"className":4603},[690,691,692,693],[573,4605,4607],{"className":4606},[635,693],[573,4608,935],{"className":4609},[635,693],[573,4611],{"className":4612,"style":1131},[641],[573,4614,1641],{"className":4615},[1135],[573,4617],{"className":4618,"style":1131},[641],[573,4620,4622,4625,4628,4660,4663,4666],{"className":4621},[626],[573,4623],{"className":4624,"style":755},[630],[573,4626,4549],{"className":4627},[635],[573,4629,4631,4634],{"className":4630},[635],[573,4632,594],{"className":4633,"style":637},[635,636],[573,4635,4637],{"className":4636},[666],[573,4638,4640],{"className":4639},[670],[573,4641,4643],{"className":4642},[674],[573,4644,4646],{"className":4645,"style":774},[678],[573,4647,4648,4651],{"style":681},[573,4649],{"className":4650,"style":686},[685],[573,4652,4654],{"className":4653},[690,691,692,693],[573,4655,4657],{"className":4656},[635,693],[573,4658,724],{"className":4659},[635,693],[573,4661],{"className":4662,"style":1131},[641],[573,4664,1049],{"className":4665},[1135],[573,4667],{"className":4668,"style":1131},[641],[573,4670,4672,4676,4679,4682,4685,4688],{"className":4671},[626],[573,4673],{"className":4674,"style":4675},[630],"height:0.8389em;vertical-align:-0.1944em;",[573,4677,878],{"className":4678},[635],[573,4680,594],{"className":4681,"style":637},[635,636],[573,4683],{"className":4684,"style":642},[641],[573,4686,598],{"className":4687},[646],[573,4689],{"className":4690,"style":642},[641],[573,4692,4694,4697],{"className":4693},[626],[573,4695],{"className":4696,"style":1227},[630],[573,4698,1079],{"className":4699},[635],[573,4701,4703,4757],{"className":4702},[576],[573,4704,4706],{"className":4705},[580],[582,4707,4708],{"xmlns":584},[586,4709,4710,4754],{},[589,4711,4712,4718,4720,4722,4724,4726,4728,4730,4732,4734,4736,4738,4740,4742,4744,4746,4748,4750,4752],{},[600,4713,4714,4716],{},[592,4715,609],{},[876,4717,878],{},[596,4719,1641],{},[876,4721,4549],{},[592,4723,609],{},[596,4725,1049],{},[876,4727,878],{},[596,4729,598],{},[596,4731,1040],{"stretchy":1039},[592,4733,609],{},[596,4735,1641],{},[876,4737,1631],{},[596,4739,1062],{"stretchy":1039},[596,4741,1040],{"stretchy":1039},[592,4743,609],{},[596,4745,1641],{},[876,4747,878],{},[596,4749,1062],{"stretchy":1039},[596,4751,598],{},[876,4753,1079],{},[614,4755,4756],{"encoding":616},"\\lambda^2 - 3\\lambda + 2 = (\\lambda - 1)(\\lambda - 2) = 0",[573,4758,4760,4804,4825,4843,4864,4891,4912],{"className":4759,"ariaHidden":622},[621],[573,4761,4763,4766,4795,4798,4801],{"className":4762},[626],[573,4764],{"className":4765,"style":1383},[630],[573,4767,4769,4772],{"className":4768},[635],[573,4770,609],{"className":4771},[635,636],[573,4773,4775],{"className":4774},[666],[573,4776,4778],{"className":4777},[670],[573,4779,4781],{"className":4780},[674],[573,4782,4784],{"className":4783,"style":969},[678],[573,4785,4786,4789],{"style":681},[573,4787],{"className":4788,"style":686},[685],[573,4790,4792],{"className":4791},[690,691,692,693],[573,4793,878],{"className":4794},[635,693],[573,4796],{"className":4797,"style":1131},[641],[573,4799,1641],{"className":4800},[1135],[573,4802],{"className":4803,"style":1131},[641],[573,4805,4807,4810,4813,4816,4819,4822],{"className":4806},[626],[573,4808],{"className":4809,"style":1145},[630],[573,4811,4549],{"className":4812},[635],[573,4814,609],{"className":4815},[635,636],[573,4817],{"className":4818,"style":1131},[641],[573,4820,1049],{"className":4821},[1135],[573,4823],{"className":4824,"style":1131},[641],[573,4826,4828,4831,4834,4837,4840],{"className":4827},[626],[573,4829],{"className":4830,"style":1227},[630],[573,4832,878],{"className":4833},[635],[573,4835],{"className":4836,"style":642},[641],[573,4838,598],{"className":4839},[646],[573,4841],{"className":4842,"style":642},[641],[573,4844,4846,4849,4852,4855,4858,4861],{"className":4845},[626],[573,4847],{"className":4848,"style":2836},[630],[573,4850,1040],{"className":4851},[1096],[573,4853,609],{"className":4854},[635,636],[573,4856],{"className":4857,"style":1131},[641],[573,4859,1641],{"className":4860},[1135],[573,4862],{"className":4863,"style":1131},[641],[573,4865,4867,4870,4873,4876,4879,4882,4885,4888],{"className":4866},[626],[573,4868],{"className":4869,"style":2836},[630],[573,4871,1631],{"className":4872},[635],[573,4874,1062],{"className":4875},[1172],[573,4877,1040],{"className":4878},[1096],[573,4880,609],{"className":4881},[635,636],[573,4883],{"className":4884,"style":1131},[641],[573,4886,1641],{"className":4887},[1135],[573,4889],{"className":4890,"style":1131},[641],[573,4892,4894,4897,4900,4903,4906,4909],{"className":4893},[626],[573,4895],{"className":4896,"style":2836},[630],[573,4898,878],{"className":4899},[635],[573,4901,1062],{"className":4902},[1172],[573,4904],{"className":4905,"style":642},[641],[573,4907,598],{"className":4908},[646],[573,4910],{"className":4911,"style":642},[641],[573,4913,4915,4918],{"className":4914},[626],[573,4916],{"className":4917,"style":1227},[630],[573,4919,1079],{"className":4920},[635],", also ",[573,4923,4925,4947],{"className":4924},[576],[573,4926,4928],{"className":4927},[580],[582,4929,4930],{"xmlns":584},[586,4931,4932,4944],{},[589,4933,4934,4940,4942],{},[1623,4935,4936,4938],{},[592,4937,609],{},[876,4939,1631],{},[596,4941,598],{},[876,4943,1631],{},[614,4945,4946],{"encoding":616},"\\lambda_1 = 1",[573,4948,4950,5006],{"className":4949,"ariaHidden":622},[621],[573,4951,4953,4957,4997,5000,5003],{"className":4952},[626],[573,4954],{"className":4955,"style":4956},[630],"height:0.8444em;vertical-align:-0.15em;",[573,4958,4960,4963],{"className":4959},[635],[573,4961,609],{"className":4962},[635,636],[573,4964,4966],{"className":4965},[666],[573,4967,4969,4989],{"className":4968},[670,1697],[573,4970,4972,4986],{"className":4971},[674],[573,4973,4975],{"className":4974,"style":1704},[678],[573,4976,4977,4980],{"style":1707},[573,4978],{"className":4979,"style":686},[685],[573,4981,4983],{"className":4982},[690,691,692,693],[573,4984,1631],{"className":4985},[635,693],[573,4987,1731],{"className":4988},[1730],[573,4990,4992],{"className":4991},[674],[573,4993,4995],{"className":4994,"style":2340},[678],[573,4996],{},[573,4998],{"className":4999,"style":642},[641],[573,5001,598],{"className":5002},[646],[573,5004],{"className":5005,"style":642},[641],[573,5007,5009,5012],{"className":5008},[626],[573,5010],{"className":5011,"style":1227},[630],[573,5013,1631],{"className":5014},[635],[573,5016,5018,5040],{"className":5017},[576],[573,5019,5021],{"className":5020},[580],[582,5022,5023],{"xmlns":584},[586,5024,5025,5037],{},[589,5026,5027,5033,5035],{},[1623,5028,5029,5031],{},[592,5030,609],{},[876,5032,878],{},[596,5034,598],{},[876,5036,878],{},[614,5038,5039],{"encoding":616},"\\lambda_2 = 2",[573,5041,5043,5098],{"className":5042,"ariaHidden":622},[621],[573,5044,5046,5049,5089,5092,5095],{"className":5045},[626],[573,5047],{"className":5048,"style":4956},[630],[573,5050,5052,5055],{"className":5051},[635],[573,5053,609],{"className":5054},[635,636],[573,5056,5058],{"className":5057},[666],[573,5059,5061,5081],{"className":5060},[670,1697],[573,5062,5064,5078],{"className":5063},[674],[573,5065,5067],{"className":5066,"style":1704},[678],[573,5068,5069,5072],{"style":1707},[573,5070],{"className":5071,"style":686},[685],[573,5073,5075],{"className":5074},[690,691,692,693],[573,5076,878],{"className":5077},[635,693],[573,5079,1731],{"className":5080},[1730],[573,5082,5084],{"className":5083},[674],[573,5085,5087],{"className":5086,"style":2340},[678],[573,5088],{},[573,5090],{"className":5091,"style":642},[641],[573,5093,598],{"className":5094},[646],[573,5096],{"className":5097,"style":642},[641],[573,5099,5101,5104],{"className":5100},[626],[573,5102],{"className":5103,"style":1227},[630],[573,5105,878],{"className":5106},[635]," und",[573,5109,5111],{"className":5110},[1023],[573,5112,5114,5164],{"className":5113},[576],[573,5115,5117],{"className":5116},[580],[582,5118,5119],{"xmlns":584,"display":1032},[586,5120,5121,5161],{},[589,5122,5123,5125,5127,5133,5135,5141,5143,5149,5151],{},[592,5124,594],{},[596,5126,598],{},[1623,5128,5129,5131],{},[592,5130,2226],{},[876,5132,1631],{},[730,5134,732],{},[600,5136,5137,5139],{},[592,5138,604],{},[592,5140,612],{},[596,5142,1049],{},[1623,5144,5145,5147],{},[592,5146,2226],{},[876,5148,878],{},[730,5150,732],{},[600,5152,5153,5155],{},[592,5154,604],{},[589,5156,5157,5159],{},[876,5158,878],{},[592,5160,612],{},[614,5162,5163],{"encoding":616},"y = C_1\\,e^{x} + C_2\\,e^{2x}",[573,5165,5167,5185,5277],{"className":5166,"ariaHidden":622},[621],[573,5168,5170,5173,5176,5179,5182],{"className":5169},[626],[573,5171],{"className":5172,"style":631},[630],[573,5174,594],{"className":5175,"style":637},[635,636],[573,5177],{"className":5178,"style":642},[641],[573,5180,598],{"className":5181},[646],[573,5183],{"className":5184,"style":642},[641],[573,5186,5188,5192,5232,5235,5268,5271,5274],{"className":5187},[626],[573,5189],{"className":5190,"style":5191},[630],"height:0.8644em;vertical-align:-0.15em;",[573,5193,5195,5198],{"className":5194},[635],[573,5196,2226],{"className":5197,"style":2306},[635,636],[573,5199,5201],{"className":5200},[666],[573,5202,5204,5224],{"className":5203},[670,1697],[573,5205,5207,5221],{"className":5206},[674],[573,5208,5210],{"className":5209,"style":1704},[678],[573,5211,5212,5215],{"style":2321},[573,5213],{"className":5214,"style":686},[685],[573,5216,5218],{"className":5217},[690,691,692,693],[573,5219,1631],{"className":5220},[635,693],[573,5222,1731],{"className":5223},[1730],[573,5225,5227],{"className":5226},[674],[573,5228,5230],{"className":5229,"style":2340},[678],[573,5231],{},[573,5233],{"className":5234,"style":810},[641],[573,5236,5238,5241],{"className":5237},[635],[573,5239,604],{"className":5240},[635,636],[573,5242,5244],{"className":5243},[666],[573,5245,5247],{"className":5246},[670],[573,5248,5250],{"className":5249},[674],[573,5251,5254],{"className":5252,"style":5253},[678],"height:0.7144em;",[573,5255,5256,5259],{"style":1118},[573,5257],{"className":5258,"style":686},[685],[573,5260,5262],{"className":5261},[690,691,692,693],[573,5263,5265],{"className":5264},[635,693],[573,5266,612],{"className":5267},[635,636,693],[573,5269],{"className":5270,"style":1131},[641],[573,5272,1049],{"className":5273},[1135],[573,5275],{"className":5276,"style":1131},[641],[573,5278,5280,5284,5324,5327],{"className":5279},[626],[573,5281],{"className":5282,"style":5283},[630],"height:1.0141em;vertical-align:-0.15em;",[573,5285,5287,5290],{"className":5286},[635],[573,5288,2226],{"className":5289,"style":2306},[635,636],[573,5291,5293],{"className":5292},[666],[573,5294,5296,5316],{"className":5295},[670,1697],[573,5297,5299,5313],{"className":5298},[674],[573,5300,5302],{"className":5301,"style":1704},[678],[573,5303,5304,5307],{"style":2321},[573,5305],{"className":5306,"style":686},[685],[573,5308,5310],{"className":5309},[690,691,692,693],[573,5311,878],{"className":5312},[635,693],[573,5314,1731],{"className":5315},[1730],[573,5317,5319],{"className":5318},[674],[573,5320,5322],{"className":5321,"style":2340},[678],[573,5323],{},[573,5325],{"className":5326,"style":810},[641],[573,5328,5330,5333],{"className":5329},[635],[573,5331,604],{"className":5332},[635,636],[573,5334,5336],{"className":5335},[666],[573,5337,5339],{"className":5338},[670],[573,5340,5342],{"className":5341},[674],[573,5343,5345],{"className":5344,"style":1115},[678],[573,5346,5347,5350],{"style":1118},[573,5348],{"className":5349,"style":686},[685],[573,5351,5353],{"className":5352},[690,691,692,693],[573,5354,5356,5359],{"className":5355},[635,693],[573,5357,878],{"className":5358},[635,693],[573,5360,612],{"className":5361},[635,636,693],[564,5363,5364,3875,5510,5709,5710,846,5805,5902],{},[573,5365,5367,5403],{"className":5366},[576],[573,5368,5370],{"className":5369},[580],[582,5371,5372],{"xmlns":584},[586,5373,5374,5400],{},[589,5375,5376,5388,5390,5396,5398],{},[600,5377,5378,5380],{},[592,5379,594],{},[589,5381,5382,5384,5386],{},[596,5383,724],{"mathvariant":722},[596,5385,724],{"mathvariant":722},[596,5387,724],{"mathvariant":722},[596,5389,1641],{},[600,5391,5392,5394],{},[592,5393,594],{},[596,5395,724],{"mathvariant":722,"lspace":723,"rspace":723},[596,5397,598],{},[876,5399,1079],{},[614,5401,5402],{"encoding":616},"y''' - y' = 0",[573,5404,5406,5454,5501],{"className":5405,"ariaHidden":622},[621],[573,5407,5409,5412,5445,5448,5451],{"className":5408},[626],[573,5410],{"className":5411,"style":755},[630],[573,5413,5415,5418],{"className":5414},[635],[573,5416,594],{"className":5417,"style":637},[635,636],[573,5419,5421],{"className":5420},[666],[573,5422,5424],{"className":5423},[670],[573,5425,5427],{"className":5426},[674],[573,5428,5430],{"className":5429,"style":774},[678],[573,5431,5432,5435],{"style":681},[573,5433],{"className":5434,"style":686},[685],[573,5436,5438],{"className":5437},[690,691,692,693],[573,5439,5441],{"className":5440},[635,693],[573,5442,5444],{"className":5443},[635,693],"′′′",[573,5446],{"className":5447,"style":1131},[641],[573,5449,1641],{"className":5450},[1135],[573,5452],{"className":5453,"style":1131},[641],[573,5455,5457,5460,5492,5495,5498],{"className":5456},[626],[573,5458],{"className":5459,"style":755},[630],[573,5461,5463,5466],{"className":5462},[635],[573,5464,594],{"className":5465,"style":637},[635,636],[573,5467,5469],{"className":5468},[666],[573,5470,5472],{"className":5471},[670],[573,5473,5475],{"className":5474},[674],[573,5476,5478],{"className":5477,"style":774},[678],[573,5479,5480,5483],{"style":681},[573,5481],{"className":5482,"style":686},[685],[573,5484,5486],{"className":5485},[690,691,692,693],[573,5487,5489],{"className":5488},[635,693],[573,5490,724],{"className":5491},[635,693],[573,5493],{"className":5494,"style":642},[641],[573,5496,598],{"className":5497},[646],[573,5499],{"className":5500,"style":642},[641],[573,5502,5504,5507],{"className":5503},[626],[573,5505],{"className":5506,"style":1227},[630],[573,5508,1079],{"className":5509},[635],[573,5511,5513,5563],{"className":5512},[576],[573,5514,5516],{"className":5515},[580],[582,5517,5518],{"xmlns":584},[586,5519,5520,5560],{},[589,5521,5522,5528,5530,5532,5534,5536,5538,5540,5542,5544,5546,5548,5550,5552,5554,5556,5558],{},[600,5523,5524,5526],{},[592,5525,609],{},[876,5527,4549],{},[596,5529,1641],{},[592,5531,609],{},[596,5533,598],{},[592,5535,609],{},[596,5537,1040],{"stretchy":1039},[592,5539,609],{},[596,5541,1641],{},[876,5543,1631],{},[596,5545,1062],{"stretchy":1039},[596,5547,1040],{"stretchy":1039},[592,5549,609],{},[596,5551,1049],{},[876,5553,1631],{},[596,5555,1062],{"stretchy":1039},[596,5557,598],{},[876,5559,1079],{},[614,5561,5562],{"encoding":616},"\\lambda^3 - \\lambda = \\lambda(\\lambda - 1)(\\lambda + 1) = 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Mit ",[573,5711,5713,5748],{"className":5712},[576],[573,5714,5716],{"className":5715},[580],[582,5717,5718],{"xmlns":584},[586,5719,5720,5745],{},[589,5721,5722,5724,5727,5730,5732,5734,5736,5738,5740,5742],{},[592,5723,609],{},[596,5725,5726],{},"∈",[596,5728,5729],{"stretchy":1039},"{",[876,5731,1079],{},[596,5733,1634],{"separator":622},[876,5735,1631],{},[596,5737,1634],{"separator":622},[596,5739,1641],{},[876,5741,1631],{},[596,5743,5744],{"stretchy":1039},"}",[614,5746,5747],{"encoding":616},"\\lambda \\in \\{0, 1, 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verwechseln: Zu ",[573,6320,6322,6354],{"className":6321},[576],[573,6323,6325],{"className":6324},[580],[582,6326,6327],{"xmlns":584},[586,6328,6329,6351],{},[589,6330,6331,6341,6343,6345,6347,6349],{},[600,6332,6333,6335],{},[592,6334,594],{},[589,6336,6337,6339],{},[596,6338,724],{"mathvariant":722},[596,6340,724],{"mathvariant":722},[596,6342,1049],{},[876,6344,1667],{},[592,6346,594],{},[596,6348,598],{},[876,6350,1079],{},[614,6352,6353],{"encoding":616},"y'' + 4y = 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0",[573,6634,6636,6680,6701],{"className":6635,"ariaHidden":622},[621],[573,6637,6639,6642,6671,6674,6677],{"className":6638},[626],[573,6640],{"className":6641,"style":1383},[630],[573,6643,6645,6648],{"className":6644},[635],[573,6646,609],{"className":6647},[635,636],[573,6649,6651],{"className":6650},[666],[573,6652,6654],{"className":6653},[670],[573,6655,6657],{"className":6656},[674],[573,6658,6660],{"className":6659,"style":969},[678],[573,6661,6662,6665],{"style":681},[573,6663],{"className":6664,"style":686},[685],[573,6666,6668],{"className":6667},[690,691,692,693],[573,6669,878],{"className":6670},[635,693],[573,6672],{"className":6673,"style":1131},[641],[573,6675,1049],{"className":6676},[1135],[573,6678],{"className":6679,"style":1131},[641],[573,6681,6683,6686,6689,6692,6695,6698],{"className":6682},[626],[573,6684],{"className":6685,"style":1330},[630],[573,6687,1667],{"className":6688},[635],[573,6690,609],{"className":6691},[635,636],[573,6693],{"className":6694,"style":642},[641],[573,6696,598],{"className":6697},[646],[573,6699],{"className":6700,"style":642},[641],[573,6702,6704,6707],{"className":6703},[626],[573,6705],{"className":6706,"style":1227},[630],[573,6708,1079],{"className":6709},[635],[2019,6711,6712,6713,6833],{},"Den Ansatz bei nicht konstanten Koeffizienten verwenden, z.B. bei ",[573,6714,6716,6750],{"className":6715},[576],[573,6717,6719],{"className":6718},[580],[582,6720,6721],{"xmlns":584},[586,6722,6723,6747],{},[589,6724,6725,6735,6737,6739,6741,6743,6745],{},[600,6726,6727,6729],{},[592,6728,594],{},[589,6730,6731,6733],{},[596,6732,724],{"mathvariant":722},[596,6734,724],{"mathvariant":722},[596,6736,1049],{},[592,6738,612],{},[730,6740,732],{},[592,6742,594],{},[596,6744,598],{},[876,6746,1079],{},[614,6748,6749],{"encoding":616},"y'' + x\\,y = 0",[573,6751,6753,6800,6824],{"className":6752,"ariaHidden":622},[621],[573,6754,6756,6759,6791,6794,6797],{"className":6755},[626],[573,6757],{"className":6758,"style":755},[630],[573,6760,6762,6765],{"className":6761},[635],[573,6763,594],{"className":6764,"style":637},[635,636],[573,6766,6768],{"className":6767},[666],[573,6769,6771],{"className":6770},[670],[573,6772,6774],{"className":6773},[674],[573,6775,6777],{"className":6776,"style":774},[678],[573,6778,6779,6782],{"style":681},[573,6780],{"className":6781,"style":686},[685],[573,6783,6785],{"className":6784},[690,691,692,693],[573,6786,6788],{"className":6787},[635,693],[573,6789,935],{"className":6790},[635,693],[573,6792],{"className":6793,"style":1131},[641],[573,6795,1049],{"className":6796},[1135],[573,6798],{"className":6799,"style":1131},[641],[573,6801,6803,6806,6809,6812,6815,6818,6821],{"className":6802},[626],[573,6804],{"className":6805,"style":631},[630],[573,6807,612],{"className":6808},[635,636],[573,6810],{"className":6811,"style":810},[641],[573,6813,594],{"className":6814,"style":637},[635,636],[573,6816],{"className":6817,"style":642},[641],[573,6819,598],{"className":6820},[646],[573,6822],{"className":6823,"style":642},[641],[573,6825,6827,6830],{"className":6826},[626],[573,6828],{"className":6829,"style":1227},[630],[573,6831,1079],{"className":6832},[635],". Dort funktioniert er nicht.",[2019,6835,6836,6837,6865,6866,2755,6894,6922],{},"Die Gleichung nicht auf Faktor ",[573,6838,6840,6853],{"className":6839},[576],[573,6841,6843],{"className":6842},[580],[582,6844,6845],{"xmlns":584},[586,6846,6847,6851],{},[589,6848,6849],{},[876,6850,1631],{},[614,6852,1631],{"encoding":616},[573,6854,6856],{"className":6855,"ariaHidden":622},[621],[573,6857,6859,6862],{"className":6858},[626],[573,6860],{"className":6861,"style":1227},[630],[573,6863,1631],{"className":6864},[635]," vor der höchsten Ableitung normieren und dann die pq-Formel mit falschen ",[573,6867,6869,6882],{"className":6868},[576],[573,6870,6872],{"className":6871},[580],[582,6873,6874],{"xmlns":584},[586,6875,6876,6880],{},[589,6877,6878],{},[592,6879,1052],{},[614,6881,1052],{"encoding":616},[573,6883,6885],{"className":6884,"ariaHidden":622},[621],[573,6886,6888,6891],{"className":6887},[626],[573,6889],{"className":6890,"style":3532},[630],[573,6892,1052],{"className":6893},[635,636],[573,6895,6897,6910],{"className":6896},[576],[573,6898,6900],{"className":6899},[580],[582,6901,6902],{"xmlns":584},[586,6903,6904,6908],{},[589,6905,6906],{},[592,6907,1059],{},[614,6909,1059],{"encoding":616},[573,6911,6913],{"className":6912,"ariaHidden":622},[621],[573,6914,6916,6919],{"className":6915},[626],[573,6917],{"className":6918,"style":1330},[630],[573,6920,1059],{"className":6921},[635,636]," anwenden.",[2019,6924,6925,6926,7005],{},"Bei einer doppelten Lösung nur ",[573,6927,6929,6955],{"className":6928},[576],[573,6930,6932],{"className":6931},[580],[582,6933,6934],{"xmlns":584},[586,6935,6936,6952],{},[589,6937,6938,6940,6942],{},[592,6939,2226],{},[730,6941,732],{},[600,6943,6944,6946],{},[592,6945,604],{},[589,6947,6948,6950],{},[592,6949,609],{},[592,6951,612],{},[614,6953,6954],{"encoding":616},"C\\,e^{\\lambda x}",[573,6956,6958],{"className":6957,"ariaHidden":622},[621],[573,6959,6961,6964,6967,6970],{"className":6960},[626],[573,6962],{"className":6963,"style":656},[630],[573,6965,2226],{"className":6966,"style":2306},[635,636],[573,6968],{"className":6969,"style":810},[641],[573,6971,6973,6976],{"className":6972},[635],[573,6974,604],{"className":6975},[635,636],[573,6977,6979],{"className":6978},[666],[573,6980,6982],{"className":6981},[670],[573,6983,6985],{"className":6984},[674],[573,6986,6988],{"className":6987,"style":656},[678],[573,6989,6990,6993],{"style":681},[573,6991],{"className":6992,"style":686},[685],[573,6994,6996],{"className":6995},[690,691,692,693],[573,6997,6999,7002],{"className":6998},[635,693],[573,7000,609],{"className":7001},[635,636,693],[573,7003,612],{"className":7004},[635,636,693]," angeben. Für Ordnung 2 braucht man zwei unabhängige Lösungen.",{"title":7007,"searchDepth":7008,"depth":7008,"links":7009},"",2,[7010,7011,7012],{"id":561,"depth":7008,"text":562},{"id":4519,"depth":7008,"text":4520},{"id":6222,"depth":7008,"text":6223},[7014,7017,7019,7021,7024,7027,7029],{"lhs":7015,"rhs":7016},"l^2*exp(l*x) + a*l*exp(l*x) + b*exp(l*x)","(l^2 + a*l + b)*exp(l*x)",{"lhs":7018,"rhs":1079},"1^2 - 3*1 + 2",{"lhs":7020,"rhs":1079},"2^2 - 3*2 + 2",{"lhs":7022,"rhs":7023},"l^2 - 3*l + 2","(l - 1)*(l - 2)",{"lhs":7025,"rhs":7026},"l^3 - l","l*(l - 1)*(l + 1)",{"lhs":7028,"rhs":1079},"re(sqrt(-4))",{"lhs":7030,"rhs":878},"im(sqrt(-4))","a,\\ b \\in \\mathbb{R} \\text{ konstant}","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>a\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmi>b\u003C\u002Fmi>\u003Cmo>∈\u003C\u002Fmo>\u003Cmi mathvariant=\"double-struck\">R\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">a, b \\in \\mathbb{R}\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">a\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">b\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">∈\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6889em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathbb\">R\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">konstant\u003C\u002Fspan>",null,"md","characteristic-equation","y'' + a\\,y' + b\\,y = 0 \\;\\Rightarrow\\; \\lambda^2 + a\\lambda + b = 0","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" display=\"block\">\u003Csemantics>\u003Cmrow>\u003Cmsup>\u003Cmi>y\u003C\u002Fmi>\u003Cmrow>\u003Cmo mathvariant=\"normal\">′\u003C\u002Fmo>\u003Cmo mathvariant=\"normal\">′\u003C\u002Fmo>\u003C\u002Fmrow>\u003C\u002Fmsup>\u003Cmo>+\u003C\u002Fmo>\u003Cmi>a\u003C\u002Fmi>\u003Cmtext> \u003C\u002Fmtext>\u003Cmsup>\u003Cmi>y\u003C\u002Fmi>\u003Cmo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">′\u003C\u002Fmo>\u003C\u002Fmsup>\u003Cmo>+\u003C\u002Fmo>\u003Cmi>b\u003C\u002Fmi>\u003Cmtext> \u003C\u002Fmtext>\u003Cmi>y\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmn>0\u003C\u002Fmn>\u003Cmtext>  \u003C\u002Fmtext>\u003Cmo>⇒\u003C\u002Fmo>\u003Cmtext>  \u003C\u002Fmtext>\u003Cmsup>\u003Cmi>λ\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsup>\u003Cmo>+\u003C\u002Fmo>\u003Cmi>a\u003C\u002Fmi>\u003Cmi>λ\u003C\u002Fmi>\u003Cmo>+\u003C\u002Fmo>\u003Cmi>b\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">y&#x27;&#x27; + a\\,y&#x27; + b\\,y = 0 \\;\\Rightarrow\\; \\lambda^2 + a\\lambda + b = 0\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.9963em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan 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style=\"height:0.9963em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">a\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">y\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8019em;\">\u003Cspan style=\"top:-3.113em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mtight\">′\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">+\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">b\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">y\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6444em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">0\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">⇒\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.9474em;vertical-align:-0.0833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">λ\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8641em;\">\u003Cspan style=\"top:-3.113em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">2\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">+\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.7778em;vertical-align:-0.0833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">aλ\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">+\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">b\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6444em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">0\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","university",{},true,"\u002Fde\u002Fformulas\u002Fmath\u002Fdifferential-equations\u002Fcharakteristische-gleichung",[],[7044,7045,7046,7047],"second-order-real-roots","second-order-double-root","second-order-complex-roots","recurrence-linear",{"title":548,"description":7007},"de\u002Fformulas\u002Fmath\u002Fdifferential-equations\u002Fcharakteristische-gleichung","Der Ansatz y = e^(λx) macht aus einer linearen DGL mit konstanten Koeffizienten eine Polynomgleichung für λ.",[7052,7053,7054,7055,7056],"differentialgleichung","lineare dgl","konstante koeffizienten","exponentialansatz","dgl zweiter ordnung",[7058,7061,7065,7069],{"symbol":594,"meaning":7059,"symbolHtml":7060},"gesuchte Funktion y(x)","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>y\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">y\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.625em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">y\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":7062,"meaning":7063,"symbolHtml":7064},"y', y''","erste und zweite Ableitung von y","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsup>\u003Cmi>y\u003C\u002Fmi>\u003Cmo mathvariant=\"normal\" lspace=\"0em\" 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