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人気のある微分積分 >

(x^3+e^y)(dy)/(dx)=3x^2

解

(x^{3} + e^{y}) \frac{d y}{d x} = 3 x^{2}

解

y = W (\frac{x ^{3}}{e ^{c_{1}}}) + c_{1}

解答ステップ

(x^{3} + e^{y}) \frac{d y}{d x} = 3 x^{2}

完全 ODE を解く:

y = W (\frac{x ^{3}}{e ^{c_{1}}}) + c_{1}

y = W (\frac{x ^{3}}{e ^{c_{1}}}) + c_{1}

人気の例

limit as x approaches infinity of x-1

x \to \infty lim (x - 1)

(d^2y)/(dt^2)+2(dy)/(dt)+y=0

\frac{d ^{2} y}{d t ^{2}} + 2 \frac{d y}{d t} + y = 0

derivative of x/((x-9^2))

\frac{d}{d x} (\frac{x}{( x - 9 ) ^{2}})

derivative of (8x^2+9/(x^2+1))

\frac{d}{d x} (\frac{8 x ^{2} + 9}{x ^{2} + 1})

(\partial)/(\partial y)(1/2 y)

\frac{\partial}{\partial y} (\frac{1}{2} y)