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人気のある微分積分 >

(ydy+xdx)/(2sqrt(1+xy))=0

解

\frac{y d y + x d x}{2 1 + x y} = 0

解

y = - x^{2} + c_{1}, y = - - x^{2} + c_{1}

解答ステップ

\frac{y d y + x d x}{2 1 + x y} = 0

分離可能 ODE を解く:

y = - x^{2} + c_{1}, y = - - x^{2} + c_{1}

y = - x^{2} + c_{1}, y = - - x^{2} + c_{1}

グラフ

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