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Консультация № 192961
19.03.2018, 09:59
0.00 руб.
0
2
1
Здравствуйте! Прошу помощи в следующем вопросе:
найти общее решение уравнения
y’=2xy/x^2-y^2
найти общее решение уравнения
y’=2xy/x^2-y^2
Обсуждение
20.03.2018, 08:00
общий
Адресаты:
Как Вы думаете, к какому виду относится заданное уравнение? Поскольку
то его можно переписать так:
то его можно переписать так:
Об авторе:
Facta loquuntur.
Facta loquuntur.
21.03.2018, 10:06
общий
это ответ
Здравствуйте, Elizabeth!
Вы зачем-то не желаете откликнуться на мои предложения обсудить возникшие у Вас трудности в мини-форумах созданных Вами консультаций. Поэтому я ограничусь тем, что повторю для Вас своё сообщение и укажу на тип заданного уравнения.
Поскольку
то его можно переписать так:
Обозначим
Установим, что 
то есть коэффициенты при 
и 
являются однородными функциями одной и той же степени (второй). Следовательно, заданное уравнение является однородным.
Положим
Тогда 
Из уравнения 
получим
Продолжите, пожалуйста, самостоятельно.
Вы зачем-то не желаете откликнуться на мои предложения обсудить возникшие у Вас трудности в мини-форумах созданных Вами консультаций. Поэтому я ограничусь тем, что повторю для Вас своё сообщение и укажу на тип заданного уравнения.
Поскольку
то его можно переписать так:
Обозначим
Установим, что то есть коэффициенты при и являются однородными функциями одной и той же степени (второй). Следовательно, заданное уравнение является однородным.Положим
Тогда Из уравнения получимПродолжите, пожалуйста, самостоятельно.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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