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 \frac{d y}{d x} = \frac{( 9 x ^{3} - 1 )}{( 7 + y ^{2} )}

\frac{d y}{d x} = (\frac{y ^{2}}{e ^{x}}), y (0) = (\frac{1}{2})

2 cos^{2} (x) d y - y^{3} sin (2 x) d x = 0

2 x y^{2} + x^{2} 2 y \frac{d y}{d x} = 0

y^{^{'}} = e^{x - y}, y (0) = ln (7)

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}}