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人気のある微分積分 >

(dy)/(dx)x^3+y^3=6xy

解

\frac{d y}{d x} x^{3} + y^{3} = 6 x y

解

y = \frac{6 2 x}{12 + x + 72 c _{1} e ^{\frac{12}{x}} x}, y = - \frac{6 2 x}{12 + x + 72 c _{1} e ^{\frac{12}{x}} x}

解答ステップ

\frac{d y}{d x} x^{3} + y^{3} = 6 x y

ベルヌーイ ODE を解く:

y = \frac{6 2 x}{12 + x + 72 c _{1} e ^{\frac{12}{x}} x}, y = - \frac{6 2 x}{12 + x + 72 c _{1} e ^{\frac{12}{x}} x}

y = \frac{6 2 x}{12 + x + 72 c _{1} e ^{\frac{12}{x}} x}, y = - \frac{6 2 x}{12 + x + 72 c _{1} e ^{\frac{12}{x}} x}

グラフ

人気の例

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