What is the solution for (dy)/(dx)x-xe^x+y=0 ?

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

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(dy)/(dx)x-xe^x+y=0

\frac{d y}{d x} x - x e^{x} + y = 0

y = e^{x} - \frac{e ^{x}}{x} + \frac{c _{1}}{x}

Solution steps

\frac{d y}{d x} x - x e^{x} + y = 0

Solve linear ODE:

y = e^{x} - \frac{e ^{x}}{x} + \frac{c _{1}}{x}

y = e^{x} - \frac{e ^{x}}{x} + \frac{c _{1}}{x}

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