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}

y = x^{2} - 1.52, y = - x^{2} + 1.52

\frac{d}{d x} (cos (x y^{2}))

\frac{\partial}{\partial y} (2 x^{2} y + 2 y + 5)

x \to 0 lim (x + y)

y = \frac{3 + 5 x - 8 x}{x}

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}}