What is the solution for 7x(dy)/(dx)=2xe^x-7y+6x^2 ?

The solution for 7x(dy)/(dx)=2xe^x-7y+6x^2 is y=(2(e^xx-e^x)}{7x}+\frac{2x^2)/7+(c_{1})/x

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7x(dy)/(dx)=2xe^x-7y+6x^2

7 x \frac{d y}{d x} = 2 x e^{x} - 7 y + 6 x^{2}

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

Solution steps

7 x \frac{d y}{d x} = 2 x e^{x} - 7 y + 6 x^{2}

Solve linear ODE:

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

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

\frac{d}{d θ} (sin (θ) (4 cos (θ) - 4))

x \to 0 lim (ln^{2} (x))

\int_{0}^{5} \frac{x ^{3}}{x ^{4} + 4} d x

\frac{d}{d x} ((x - 8)^{2})

3 x^{2}, \frac{1}{3} x, 0, 0.5

What is the solution for 7x(dy)/(dx)=2xe^x-7y+6x^2 ?
The solution for 7x(dy)/(dx)=2xe^x-7y+6x^2 is y=(2(e^xx-e^x)}{7x}+\frac{2x^2)/7+(c_{1})/x