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}

\int \frac{1}{e ^{2 t}} d t

\int (\frac{2 x}{y} + x y^{2}) d x

f (x) = x^{2} \cdot e^{x^{2} - 1}, at x = - 1

\int (x - 1) x^{2} - 2 x d x

\frac{d}{d h} (35 f (h) (3 + 2 h))

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}}