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

The solution for x(dy)/(dx)+2y=x^3-x is y=(x^3)/5-x/3+(c_{1})/(x^2)

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x(dy)/(dx)+2y=x^3-x

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

y = \frac{x ^{3}}{5} - \frac{x}{3} + \frac{c _{1}}{x ^{2}}

Solution steps

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

Solve linear ODE:

y = \frac{x ^{3}}{5} - \frac{x}{3} + \frac{c _{1}}{x ^{2}}

y = \frac{x ^{3}}{5} - \frac{x}{3} + \frac{c _{1}}{x ^{2}}

What is the solution for x(dy)/(dx)+2y=x^3-x ?
The solution for x(dy)/(dx)+2y=x^3-x is y=(x^3)/5-x/3+(c_{1})/(x^2)