What is the solution for (dy)/(dx)+2xy=x^3 ?

The solution for (dy)/(dx)+2xy=x^3 is y=(x^2-1)/2+(c_{1})/(e^{x^2)}

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(dy)/(dx)+2xy=x^3

\frac{d y}{d x} + 2 x y = x^{3}

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

Solution steps

\frac{d y}{d x} + 2 x y = x^{3}

Solve linear ODE:

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

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

\frac{\partial}{\partial y} (\frac{- y}{x ^{2} + 9 y ^{2}})

\int_{- 2}^{3} \frac{40}{x ^{4}} d x

y = x + 3

\frac{1}{s} - \frac{2}{( s + 3 ) ^{2} - 9}

\int \frac{2 x ^{2} - 1}{x ^{3} - x} d x

What is the solution for (dy)/(dx)+2xy=x^3 ?
The solution for (dy)/(dx)+2xy=x^3 is y=(x^2-1)/2+(c_{1})/(e^{x^2)}