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}}

\int_{0}^{π} t cos^{2} (t) d t

\int sin (\frac{nπ x}{1}) d x

x \to 1 + lim (x + 1)

x \to 1 lim (\frac{x ^{2} + 1}{x - 2})

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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)