What is the solution for x*(dy)/(dx)=7xe^x-y+9x^2 ?

The solution for x*(dy)/(dx)=7xe^x-y+9x^2 is y=(7(e^xx-e^x))/x+3x^2+(c_{1})/x

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x*(dy)/(dx)=7xe^x-y+9x^2

x \cdot \frac{d y}{d x} = 7 x e^{x} - y + 9 x^{2}

y = \frac{7 ( e ^{x} x - e ^{x} )}{x} + 3 x^{2} + \frac{c _{1}}{x}

Solution steps

x \cdot \frac{d y}{d x} = 7 x e^{x} - y + 9 x^{2}

Solve linear ODE:

y = \frac{7 ( e ^{x} x - e ^{x} )}{x} + 3 x^{2} + \frac{c _{1}}{x}

y = \frac{7 ( e ^{x} x - e ^{x} )}{x} + 3 x^{2} + \frac{c _{1}}{x}

\int e^{3 θ} sin (2 θ) d θ

\int 1 + 4 θ^{2} d θ

e^{2 t} (t - 1)^{2}

\frac{d}{d x} ((1 - 3 x) arccoth (3 x))

y^{^{'}} + 4 x y^{3} = 0

What is the solution for x*(dy)/(dx)=7xe^x-y+9x^2 ?
The solution for x*(dy)/(dx)=7xe^x-y+9x^2 is y=(7(e^xx-e^x))/x+3x^2+(c_{1})/x