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Консультация № 191751
14.11.2017, 02:53
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Здравствуйте уважаемые эксперты! Помогите Решите следующие уравнения:
1. (ex - 2) y' = exy
2. Y' +(4xy)/(x^2+1)= 1/(x^2+1)
3. y''=x^7/8 + 3x^1/3 +5x^5/3
4. y''+2y'-4y=x^2 + e^x
Очень срочно нужно сегодня на экзамен!
1. (ex - 2) y' = exy
2. Y' +(4xy)/(x^2+1)= 1/(x^2+1)
3. y''=x^7/8 + 3x^1/3 +5x^5/3
4. y''+2y'-4y=x^2 + e^x
Очень срочно нужно сегодня на экзамен!
Обсуждение
14.11.2017, 10:05
общий
это ответ
Здравствуйте, shinghalova!
Рассмотрим уравнение 2.
Сначала решим уравнение с нулевой правой частью. Получим
Решение заданного уравнения будем искать в виде
Тогда
что после подстановки в заданное уравнение даёт
Следовательно, решением заданного уравнения является функция
Рассмотрим уравнение 2.
Сначала решим уравнение с нулевой правой частью. Получим
Решение заданного уравнения будем искать в виде
Тогдачто после подстановки в заданное уравнение даёт
Следовательно, решением заданного уравнения является функция
Об авторе:
Facta loquuntur.
Facta loquuntur.
Форма ответа
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