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}

x \to 1 lim (\frac{2}{x ^{2} - 7 x + 6})

f (x) = x^{3} cos (x)

\int e^{- r^{2}} \cdot r d r

\int_{0}^{1} sin^{3} (\frac{π}{2} x) d x

x \to 0 lim (3 x^{2} + 1)

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