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Консультация № 185218
19.01.2012, 19:27
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Показать, что функция удовлетворяет данному дифференциальному уравнению в частных производных:
z=x^3-4x^2y+5y^2 , d^2z/dy^2 + 1/x*d^2z/dx*dy=2
Показать, что функция удовлетворяет данному дифференциальному уравнению в частных производных:
z=x^3-4x^2y+5y^2 , d^2z/dy^2 + 1/x*d^2z/dx*dy=2
Обсуждение
19.01.2012, 19:37
общий
это ответ
Здравствуйте, Стас!
zy=-4x2+10y
zxy=-8x
zyy=10
zyy+(1/x)zxy=10+(1/x)(-8x)=10-8=2
zy=-4x2+10y
zxy=-8x
zyy=10
zyy+(1/x)zxy=10+(1/x)(-8x)=10-8=2
19.01.2012, 21:57
общий
19.01.2012, 22:41
d^2z/dy^2 - это частная производная ВТОРОГО порядка функции z(x,y) по переменной y
Форма ответа
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