What is the solution for (xdy)/(dx)=3xe^x-y+9x^2 ?

The solution for (xdy)/(dx)=3xe^x-y+9x^2 is y=(3(e^xx-e^x))/x+3x^2+(c_{1})/x

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(xdy)/(dx)=3xe^x-y+9x^2

\frac{x d y}{d x} = 3 x e^{x} - y + 9 x^{2}

y = \frac{3 ( e ^{x} x - e ^{x} )}{x} + 3 x^{2} + \frac{c _{1}}{x}

Solution steps

\frac{x d y}{d x} = 3 x e^{x} - y + 9 x^{2}

Solve linear ODE:

y = \frac{3 ( e ^{x} x - e ^{x} )}{x} + 3 x^{2} + \frac{c _{1}}{x}

y = \frac{3 ( e ^{x} x - e ^{x} )}{x} + 3 x^{2} + \frac{c _{1}}{x}

n = 2 \sum \infty 3 (\frac{x}{4})^{n}

\int x^{2} \cdot e^{x} d x

\int 5 r^{2} d r

\int (2 t + 4) d t

y^{^{'}} = x (1 - y^{2})

What is the solution for (xdy)/(dx)=3xe^x-y+9x^2 ?
The solution for (xdy)/(dx)=3xe^x-y+9x^2 is y=(3(e^xx-e^x))/x+3x^2+(c_{1})/x