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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

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