Find the first three non-zero terms in each of two linearly independent power series solutions centred at $\displaystyle x = 0$ of the equation

$\displaystyle cos(x)y''+xy' - 2y = 0$

What do you expect the radius of convergence of the solutions to be?

I tried to right $\displaystyle cos(x)$ in its taylor series form but I got stuck somehow...$\displaystyle x=0$ is a regular singular point that I've checked...please help thanks!