What is the solution for (xdy)/(dx)=2xe^x-y+6x^2 ?

The solution for (xdy)/(dx)=2xe^x-y+6x^2 is y=(2(e^xx-e^x))/x+2x^2+(c_{1})/x

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(xdy)/(dx)=2xe^x-y+6x^2

\frac{x d y}{d x} = 2 x e^{x} - y + 6 x^{2}

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

Solution steps

\frac{x d y}{d x} = 2 x e^{x} - y + 6 x^{2}

Solve linear ODE:

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

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

y^{^{''}} + 2 y^{^{'}} + y = x^{2}

\frac{1}{3} x^{3} - \frac{1}{2} x^{2} - 30 x + 2

y = \frac{2 x + 3}{3 x - 2}

\int 9 cos (x) + 5 d x

\frac{\partial}{\partial x} (x^{0.1} y^{0.9})

What is the solution for (xdy)/(dx)=2xe^x-y+6x^2 ?
The solution for (xdy)/(dx)=2xe^x-y+6x^2 is y=(2(e^xx-e^x))/x+2x^2+(c_{1})/x