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Консультация № 195904
23.06.2019, 18:32
0.00 руб.
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1
Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Добрый день, необходимо решить такое однородное дифф. уравнение:
(4x^2+3xy+y^2)dx+(4y^2+3xy+x^2)dy=0
Добрый день, необходимо решить такое однородное дифф. уравнение:
(4x^2+3xy+y^2)dx+(4y^2+3xy+x^2)dy=0
Обсуждение
28.06.2019, 11:22
общий
это ответ
Здравствуйте, luxv99!
Я предполагаю, что предложенное Вами уравнение можно решить следующим образом. Положим
Тогда 
если
то
(при интегрировании я воспользовался онлайн-калькулятором www.integral-calculator.ru; при необходимости он показывает подробное решение),
-- общий интеграл заданного уравнения при
Если
то из заданного уравнения получим
поскольку постольку 
-- особое решение заданного уравнения при 
Я предполагаю, что предложенное Вами уравнение можно решить следующим образом. Положим
Тогда если
то(при интегрировании я воспользовался онлайн-калькулятором www.integral-calculator.ru; при необходимости он показывает подробное решение),
-- общий интеграл заданного уравнения при
Если
то из заданного уравнения получимпоскольку
постольку -- особое решение заданного уравнения при
5
всё равно спасибо, уже разобрался)))
Об авторе:
Facta loquuntur.
Facta loquuntur.
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