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人気のある微分積分 >

2xydy=(x^2-y^2)dx

解

2 x y d y = (x^{2} - y^{2}) d x

解

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

解答ステップ

2 x y d y = (x^{2} - y^{2}) d x

ベルヌーイ ODE を解く:

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

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

グラフ

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