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人気のある微分積分 >

xy^2dx+(1+x^2y)dy=0

解

x y^{2} d x + (1 + x^{2} y) d y = 0

解

y = \frac{- 1 + 2 c _{1} x ^{2} + 1}{x ^{2}}, y = - \frac{2 c _{1} x ^{2} + 1 + 1}{x ^{2}}

解答ステップ

x y^{2} d x + (1 + x^{2} y) d y = 0

完全 ODE を解く:

y = \frac{- 1 + 2 c _{1} x ^{2} + 1}{x ^{2}}, y = - \frac{2 c _{1} x ^{2} + 1 + 1}{x ^{2}}

y = \frac{- 1 + 2 c _{1} x ^{2} + 1}{x ^{2}}, y = - \frac{2 c _{1} x ^{2} + 1 + 1}{x ^{2}}

グラフ

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