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Popular >

(dy)/(dx)=2xe^{-y}

Solution

\frac{d y}{d x} = 2 x e^{- y}

Solution

y = ln (x^{2} + c_{1})

Solution steps

\frac{d y}{d x} = 2 x e^{- y}

Solve separable ODE:

y = ln (x^{2} + c_{1})

y = ln (x^{2} + c_{1})

Graph

Popular Examples

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\int x^{2} \cdot 2^{x} d x

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f (x) = x + x^{\frac{2}{3}} - 3 x

limit as x approaches 0 of 2sin(x)ln(x)

x \to 0 lim (2 sin (x) ln (x))

derivative of 2e^x-e^{x+1}+e^{2/3}-5pi^2 derivative of

2 e^{x} - e^{x + 1} + e^{\frac{2}{3}} - 5 π^{2}

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=2xe^{-y} ?
The solution for (dy)/(dx)=2xe^{-y} is y=ln(x^2+c_{1})