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

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

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

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

y = \frac{ln ( 2 e ^{x} x - 2 e ^{x} + c _{1} )}{2}

Solution steps

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

Solve separable ODE:

y = \frac{ln ( 2 e ^{x} x - 2 e ^{x} + c _{1} )}{2}

y = \frac{ln ( 2 e ^{x} x - 2 e ^{x} + c _{1} )}{2}

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