Hi I'm really stuck with some homework:
Find the general solution of the differential equation,
$$\left(x+\dfrac{1}x\right)\dfrac{dy}{dx} + 2y = 2\left(x^2+1\right)^2$$
So far, I've divided both sides by $x+\dfrac{1}x$ and integrated $\dfrac{2y}{x + \frac{1}{x}}$ to get $y \ln\left(x^2+1\right)$ but have no idea where to go from here.
Anyone know what I need to do next?