What is the solution for (dy)/(dx)=-x/(ye^{x^2)} ?

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

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(dy)/(dx)=-x/(ye^{x^2)}

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

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

Solution steps

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

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}

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