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人気のある微分積分 >

derivative of e^{xy}= derivative of 2y

解

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

解

y = - \frac{W ( - \frac{x}{2 e ^{\frac{c _{1} x}{2}}} )}{x} - \frac{c _{1}}{2}

解答ステップ

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

完全 ODE を解く:

y = - \frac{W ( - \frac{x}{2 e ^{\frac{c _{1} x}{2}}} )}{x} - \frac{c _{1}}{2}

y = - \frac{W ( - \frac{x}{2 e ^{\frac{c _{1} x}{2}}} )}{x} - \frac{c _{1}}{2}

人気の例

integral of (x(y^2-5y+6))/(x^2+1)

\int \frac{x ( y ^{2} - 5 y + 6 )}{x ^{2} + 1} d x

limit as x approaches 5 of in(x^2-25)

x \to 5 lim (in (x^{2} - 25))

derivative of arccsc(-5x^2)

\frac{d}{d x} (arccsc (- 5 x^{2}))

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\int \frac{3 x - 5}{x ^{2} - 4 x + 3} d x

integral of x^3+2x^2-x+k

\int x^{3} + 2 x^{2} - x + k d x