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Консультация № 198817
01.06.2020, 20:10
0.00 руб.
1
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1
Здравствуйте! У меня возникли сложности с таким вопросом:
Найти решение задачи Коши:
у"'-3у"+3у'-у=0, у(0)=0, у'(0)=0, у''(0)=4
Найти решение задачи Коши:
у"'-3у"+3у'-у=0, у(0)=0, у'(0)=0, у''(0)=4
Прикрепленные файлы:
Обсуждение
06.06.2020, 18:35
общий
это ответ
Здравствуйте, Наталья!
Соответствующее данному дифференциальному уравнению характеристическое уравнение
имеет один корень k = 1 кратности 3, поэтому общее решение будет иметь вид
где A, B и C - некоторые коэффициенты. Их определяем, подставляя полученное выражение для y в начальные условия:
откуда A = 2, B = C = 0 и
- искомое решение задачи Коши.
Соответствующее данному дифференциальному уравнению характеристическое уравнение
имеет один корень k = 1 кратности 3, поэтому общее решение будет иметь вид
где A, B и C - некоторые коэффициенты. Их определяем, подставляя полученное выражение для y в начальные условия:
откуда A = 2, B = C = 0 и
- искомое решение задачи Коши.
5
Благодарю Вас за помощь!
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