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Консультация № 190578
21.02.2017, 11:56
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Найти частное решение дифференциального уравнения при заданных начальных условиях y(x0)=y0:
y`-ytgx=sin2x; x0=0; y0=1/3
Найти частное решение дифференциального уравнения при заданных начальных условиях y(x0)=y0:
y`-ytgx=sin2x; x0=0; y0=1/3
Обсуждение
21.02.2017, 16:12
общий
это ответ
Здравствуйте, tolmachieva.a!
Проинтегрируем сначала уравнение
Получим
Проинтегрируем теперь заданное уравнение, положив
где 
- неизвестная функция. Получим
используем начальное условие
тогда
или
- искомое частное решение заданного дифференциального уравнения.
Проверьте, пожалуйста, вычисления, чтобы избежать ошибок. Если у Вас возникнут вопросы по записанному решению, то обращайтесь в мини-форум консультации.
Проинтегрируем сначала уравнение
ПолучимПроинтегрируем теперь заданное уравнение, положив
где - неизвестная функция. Получимиспользуем начальное условие
тогдаили
- искомое частное решение заданного дифференциального уравнения.Проверьте, пожалуйста, вычисления, чтобы избежать ошибок. Если у Вас возникнут вопросы по записанному решению, то обращайтесь в мини-форум консультации.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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