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Консультация № 190710
16.03.2017, 15:46
0.00 руб.
0
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Найти общее решение дифференциального уравнения:
y' + x*(y)^(1/3)= 3*y
Найти общее решение дифференциального уравнения:
y' + x*(y)^(1/3)= 3*y
Обсуждение
16.03.2017, 16:14
общий
16.03.2017, 16:15
Адресаты:
Чтобы не возиться долго, предлагаю Вам посетить этот ресурс. Ввести слева от знака равенства y'+xy^(1/3), а справа от знака равенства ввести 3y. Нажать кнопку "Решение" и подождать несколько секунд. Появится решение и ответ вида
Вам остаётся проверить это решение. Если оно правильное, то переписать и отдать на проверку преподавателю.
Вам остаётся проверить это решение. Если оно правильное, то переписать и отдать на проверку преподавателю.
Об авторе:
Facta loquuntur.
Facta loquuntur.
16.03.2017, 16:43
общий
это ответ
Здравствуйте, Анна!
Вот так вот, если не ошибся в вычислениях
Вот так вот, если не ошибся в вычислениях
Прикрепленные файлы:
16.03.2017, 19:19
общий
это ответ
Здравствуйте, Анна!
Предлагаю ещё один способ решения этого уравнения (кратко):
Решим уравнение с нулевой правой частью:
Ищем решение уравнения
в виде 
Тогда 
(интеграл справа см. здесь),
и, поскольку
постольку
- общее решение заданного уравнения.
Решение, конечно, нужно проверить.
Предлагаю ещё один способ решения этого уравнения (кратко):
Решим уравнение с нулевой правой частью:
Ищем решение уравнения
в виде Тогда (интеграл справа см. здесь),и, поскольку
постольку - общее решение заданного уравнения.Решение, конечно, нужно проверить.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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