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Консультация № 190809
29.03.2017, 18:09
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Найти частное решение диф-го уравнения при заданных начальных условиях
y`-2y=e^2x
x0=0 y0=4
Найти частное решение диф-го уравнения при заданных начальных условиях
y`-2y=e^2x
x0=0 y0=4
Обсуждение
29.03.2017, 21:09
общий
это ответ
Здравствуйте, tolmachieva.a!
Решим уравнение
Получим
Решение заданного уравнения выведем как
где 
- неизвестная функция. Тогда
после подстановки в заданное уравнение получим
Общее решение заданного уравнения суть
Согласно условию задачи,
значит,
Поэтому частным решением заданного дифференциального уравнения при заданных начальных условиях является функция
Решим уравнение
Получим
Решение заданного уравнения выведем как
где - неизвестная функция. Тогдапосле подстановки в заданное уравнение получим
Общее решение заданного уравнения суть
Согласно условию задачи,
значит,Поэтому частным решением заданного дифференциального уравнения при заданных начальных условиях является функция
Об авторе:
Facta loquuntur.
Facta loquuntur.
Форма ответа
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