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人気のある微分積分 >

(2y^2x+3x)dx+(2x^2y)dy=0

解

(2 y^{2} x + 3 x) d x + (2 x^{2} y) d y = 0

解

y = \frac{c _{1} - 3 x ^{2}}{2 x}, y = - \frac{c _{1} - 3 x ^{2}}{2 x}

解答ステップ

(2 y^{2} x + 3 x) d x + (2 x^{2} y) d y = 0

分離可能 ODE を解く:

y = \frac{c _{1} - 3 x ^{2}}{2 x}, y = - \frac{c _{1} - 3 x ^{2}}{2 x}

y = \frac{c _{1} - 3 x ^{2}}{2 x}, y = - \frac{c _{1} - 3 x ^{2}}{2 x}

グラフ

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