What is the solution for (dy)/(dx)=-1/4 e^xy^{-2} ?

The solution for (dy)/(dx)=-1/4 e^xy^{-2} is y=\sqrt[3]{(-3e^x+c_{1})/4}

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(dy)/(dx)=-1/4 e^xy^{-2}

\frac{d y}{d x} = - \frac{1}{4} e^{x} y^{- 2}

y = 3 \frac{- 3 e ^{x} + c _{1}}{4}

Solution steps

\frac{d y}{d x} = - \frac{1}{4} e^{x} y^{- 2}

Solve separable ODE:

y = 3 \frac{- 3 e ^{x} + c _{1}}{4}

y = 3 \frac{- 3 e ^{x} + c _{1}}{4}

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What is the solution for (dy)/(dx)=-1/4 e^xy^{-2} ?
The solution for (dy)/(dx)=-1/4 e^xy^{-2} is y=\sqrt[3]{(-3e^x+c_{1})/4}