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人気のある微分積分 >

(dx)/(x-x^2)=3dt

解

\frac{d x}{x - x ^{2}} = 3 d t

解

x = - \frac{e ^{3 t + c_{1}}}{1 - e ^{3 t + c_{1}}}

解答ステップ

\frac{d x}{x - x ^{2}} = 3 d t

分離可能 ODE を解く:

x = - \frac{e ^{3 t + c_{1}}}{1 - e ^{3 t + c_{1}}}

x = - \frac{e ^{3 t + c_{1}}}{1 - e ^{3 t + c_{1}}}

グラフ

人気の例

(\partial)/(\partial y)(sqrt(14-x^2-4y^2))

\frac{\partial}{\partial y} (14 - x^{2} - 4 y^{2})

limit as x approaches 2 of (x^2+1)/x

x \to 2 lim (\frac{x ^{2} + 1}{x})

derivative of e^4+ln(8)

\frac{d}{d x} (e^{4} + ln (8))

integral of e^{3x+4}

\int e^{3 x + 4} d x

limit as x approaches 2-of-2

x \to 2 - lim (- 2)