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人気のある微分積分 >

y^'=-1/x y^2-1/x y

解

y^{^{'}} = - \frac{1}{x} y^{2} - \frac{1}{x} y

解

y = \frac{e ^{c_{1}}}{x - e ^{c_{1}}}

解答ステップ

y^{'} (x) = - \frac{1}{x} y^{2} - \frac{1}{x} y

分離可能 ODE を解く:

y = \frac{e ^{c_{1}}}{x - e ^{c_{1}}}

y = \frac{e ^{c_{1}}}{x - e ^{c_{1}}}

グラフ

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