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人気のある微分積分 >

9x^2y^2+x^{3/2}y^'=y^2

解

9 x^{2} y^{2} + x^{\frac{3}{2}} y^{^{'}} = y^{2}

解

y = - \frac{x ^{\frac{1}{2}}}{- 2 - 6 x ^{2} + c _{1} x ^{\frac{1}{2}}}

解答ステップ

9 x^{2} y^{2} + x^{\frac{3}{2}} y^{'} (x) = y^{2}

分離可能 ODE を解く:

y = - \frac{x ^{\frac{1}{2}}}{- 2 - 6 x ^{2} + c _{1} x ^{\frac{1}{2}}}

y = - \frac{x ^{\frac{1}{2}}}{- 2 - 6 x ^{2} + c _{1} x ^{\frac{1}{2}}}

グラフ

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