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Консультация № 196688
16.10.2019, 18:29
0.00 руб.
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Здравствуйте! Прошу помощи в следующем вопросе:
Помогите решить задачу, пожалуйста!
Помогите решить задачу, пожалуйста!
Прикрепленные файлы:
Обсуждение
17.10.2019, 09:11
общий
это ответ
Здравствуйте, nata!
Обозначим
Поскольку
и 
то есть 
постольку задано уравнение в полных дифференциалах [1, с. 21].
Согласно [1, с. 22], искомая функция
которая является решением заданного уравнения, должна удовлетворять условиям 
Отсюда получим
Общим интегралом заданного уравнения является
или 
где 
Рассматривая выражение
как квадратное уравнение относительно неизвестной величины 
получим
-- общее решение заданного уравнения.
Литература
1. Письменный Д. Т. Конспект лекций по высшей математике. В 2 ч. Ч. 2. -- М.: Айрис-пресс, 2007. -- 256 с.
Обозначим
Поскольку то есть постольку задано уравнение в полных дифференциалах [1, с. 21].Согласно [1, с. 22], искомая функция
которая является решением заданного уравнения, должна удовлетворять условиям Отсюда получимОбщим интегралом заданного уравнения является
или где Рассматривая выражение
как квадратное уравнение относительно неизвестной величины получим-- общее решение заданного уравнения.
Литература
1. Письменный Д. Т. Конспект лекций по высшей математике. В 2 ч. Ч. 2. -- М.: Айрис-пресс, 2007. -- 256 с.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
Форма ответа
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