What is the solution for 5x*(dy)/(dx)=2xe^x-5y+6x^2 ?

The solution for 5x*(dy)/(dx)=2xe^x-5y+6x^2 is y=(2(e^xx-e^x)}{5x}+\frac{2x^2)/5+(c_{1})/x

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5x*(dy)/(dx)=2xe^x-5y+6x^2

5 x \cdot \frac{d y}{d x} = 2 x e^{x} - 5 y + 6 x^{2}

y = \frac{2 ( e ^{x} x - e ^{x} )}{5 x} + \frac{2 x ^{2}}{5} + \frac{c _{1}}{x}

Solution steps

5 x \cdot \frac{d y}{d x} = 2 x e^{x} - 5 y + 6 x^{2}

Solve linear ODE:

y = \frac{2 ( e ^{x} x - e ^{x} )}{5 x} + \frac{2 x ^{2}}{5} + \frac{c _{1}}{x}

y = \frac{2 ( e ^{x} x - e ^{x} )}{5 x} + \frac{2 x ^{2}}{5} + \frac{c _{1}}{x}

\int 3 x - x d x

\int_{1}^{4} \int_{1}^{x} 2 y e^{- x} d y d x

\int x (x^{2} + 3)^{12} d x

\frac{\partial}{\partial y} (x^{2} - 3 x y)

30 y^{^{''}} - 25 y^{^{'}} = 0

What is the solution for 5x*(dy)/(dx)=2xe^x-5y+6x^2 ?
The solution for 5x*(dy)/(dx)=2xe^x-5y+6x^2 is y=(2(e^xx-e^x)}{5x}+\frac{2x^2)/5+(c_{1})/x