What is the solution for (dy}{dx}=-\frac{(xe^{-x^2}))/y ?

The solution for (dy}{dx}=-\frac{(xe^{-x^2}))/y is y=sqrt(e^{-x^2)+c_{1}},y=-sqrt(e^{-x^2)+c_{1}}

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

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

y = e^{- x^{2}} + c_{1}, y = - e^{- x^{2}} + c_{1}

Solution steps

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

Solve separable ODE:

y = e^{- x^{2}} + c_{1}, y = - e^{- x^{2}} + c_{1}

y = e^{- x^{2}} + c_{1}, y = - e^{- x^{2}} + c_{1}

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