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Консультация № 201155
14.06.2021, 00:50
0.00 руб.
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
решить дифференциальное уравнения
решить дифференциальное уравнения
Прикрепленные файлы:
Обсуждение
14.06.2021, 08:32
общий
это ответ
Здравствуйте, ushatalal!
Пусть дано уравнение
Приведём его к однородному уравнению, введя "новую" систему координат с началом в точке пересечения прямых 
и 
Таковой в "старой" системе координат является точка 
Выполним замены переменных 
Тогда 
Теперь применим подстановку
Тогда 
-- общий интеграл заданного уравнения.
Пусть дано уравнение
Приведём его к однородному уравнению, введя "новую" систему координат с началом в точке пересечения прямых и Таковой в "старой" системе координат является точка Выполним замены переменных Тогда Теперь применим подстановку
Тогда -- общий интеграл заданного уравнения.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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