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人気のある微分積分 >

(dy)/(dx)=(2x)/(5y)

解

\frac{d y}{d x} = \frac{2 x}{5 y}

解

y = \frac{2 x ^{2}}{5} + c_{1}, y = - \frac{2 x ^{2}}{5} + c_{1}

解答ステップ

\frac{d y}{d x} = \frac{2 x}{5 y}

分離可能 ODE を解く:

y = \frac{2 x ^{2}}{5} + c_{1}, y = - \frac{2 x ^{2}}{5} + c_{1}

y = \frac{2 x ^{2}}{5} + c_{1}, y = - \frac{2 x ^{2}}{5} + c_{1}

グラフ

人気の例

integral from 1 to 2 of ((8-x^2))/(x^3)

\int_{1}^{2} \frac{( 8 - x ^{2} )}{x ^{3}} d x

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x \to 0 lim (\frac{\frac{2}{x + 2} - 1}{x})

e^{t^2}y^'+t+ty^2=0

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