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 (\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 (\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}

\frac{d}{d x} ((9 x^{2} - 15 x) e^{x})

\int \frac{1}{9 sin ^{2} ( x )} d x

x \to 0 lim (\frac{tan ( 4 x )}{tan ( 9 x )})

x \to 1 lim (\frac{( x ^{7 a} - 7 a x + 7 a - 1 )}{( x - 1 ) ^{2}})

\int \frac{1}{( x + 8 ) ^{2}} d x

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