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 \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 \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}

\frac{\partial}{\partial x} (5 x^{2} y - x + 3 y^{3})

\int csc (5 t) cot (5 t) d t

\int \frac{5 x}{x ^{2} + 8} d x

x \to 4 lim (x + 5 - 3)

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

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