9(x^2+y^2)dx+7xydy=0

解

9 (x^{2} + y^{2}) d x + 7 x y d y = 0

y = \frac{- 9 x ^{\frac{32}{7}} + c _{1}}{4 x ^{\frac{9}{7}}}, y = - \frac{- 9 x ^{\frac{32}{7}} + c _{1}}{4 x ^{\frac{9}{7}}}

解答ステップ

9 (x^{2} + y^{2}) d x + 7 x y d y = 0

ベルヌーイ ODE を解く:

y = \frac{- 9 x ^{\frac{32}{7}} + c _{1}}{4 x ^{\frac{9}{7}}}, y = - \frac{- 9 x ^{\frac{32}{7}} + c _{1}}{4 x ^{\frac{9}{7}}}

y = \frac{- 9 x ^{\frac{32}{7}} + c _{1}}{4 x ^{\frac{9}{7}}}, y = - \frac{- 9 x ^{\frac{32}{7}} + c _{1}}{4 x ^{\frac{9}{7}}}