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人気のある微分積分 >

(t^2-xt^2)(dx)/(dt)+x^2+tx^2=0

解

(t^{2} - x t^{2}) \frac{d x}{d t} + x^{2} + t x^{2} = 0

解

x = - \frac{1}{W ( - \frac{1}{e ^{\frac{c _{1} t - 1}{t}} t} )}

解答ステップ

(t^{2} - x t^{2}) \frac{d x}{d t} + x^{2} + t x^{2} = 0

分離可能 ODE を解く:

x = - \frac{1}{W ( - \frac{1}{e ^{\frac{c _{1} t - 1}{t}} t} )}

x = - \frac{1}{W ( - \frac{1}{e ^{\frac{c _{1} t - 1}{t}} t} )}

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