What is the solution for xe^{y-x^2}dx-dy=0 ?

The solution for xe^{y-x^2}dx-dy=0 is y=-ln(1/2 e^{-x^2}-c_{1})

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xe^{y-x^2}dx-dy=0

x e^{y - x^{2}} d x - d y = 0

y = - ln (\frac{1}{2} e^{- x^{2}} - c_{1})

Solution steps

x e^{y - x^{2}} d x - d y = 0

Solve separable ODE:

y = - ln (\frac{1}{2} e^{- x^{2}} - c_{1})

y = - ln (\frac{1}{2} e^{- x^{2}} - c_{1})

f (x) = x^{2} - 6, (5, 19)

\frac{d}{d x} (x^{3} e^{2 x})

\frac{\partial}{\partial x} (4 y + 9 x^{2})

\frac{d y}{d x} = 17 x + y - 17

\frac{d}{d x} (x^{(\frac{1}{2})})

What is the solution for xe^{y-x^2}dx-dy=0 ?
The solution for xe^{y-x^2}dx-dy=0 is y=-ln(1/2 e^{-x^2}-c_{1})