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人気のある微分積分 >

(x^2-1)y^'+2xy^2=0

解

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

解

y = - \frac{1}{- ln ( x ^{2} - 1 ) + c _{1}}

解答ステップ

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

分離可能 ODE を解く:

y = - \frac{1}{- ln ( x ^{2} - 1 ) + c _{1}}

y = - \frac{1}{- ln ( x ^{2} - 1 ) + c _{1}}

グラフ

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