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Консультация № 191984
04.12.2017, 02:13
0.00 руб.
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2
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Решить обыкновенное дифференциальное уравнение и найти C - const:
y' = x (1 – y^2)^1/2
Решить обыкновенное дифференциальное уравнение и найти C - const:
y' = x (1 – y^2)^1/2
Обсуждение
04.12.2017, 06:33
общий
Адресаты:
Маргарита и найти C - const
Чтобы сделать это, должны быть заданы начальные условия. Вы не указали их.
Об авторе:
Facta loquuntur.
Facta loquuntur.
04.12.2017, 13:39
общий
02.11.2021, 02:41
это ответ
Здравствуйте, Маргарита!
Запишем исходное уравнение
в виде
откуда
- уравнение с разделёнными переменными. Интегрируя обе части, получаем
Это - общее решение, а для определения константы C (как уже отметили в комментариях) необходимо начальное условие - значение функции y в определённой точке.
Запишем исходное уравнение
в виде
откуда
- уравнение с разделёнными переменными. Интегрируя обе части, получаем
Это - общее решение, а для определения константы C (как уже отметили в комментариях) необходимо начальное условие - значение функции y в определённой точке.
5
Форма ответа
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