I'm studying for a qualifying examination and am stuck on the following question. Could anyone give me some help?
Find all singular points of the equation and classify them as regular/irregular. Then find the first term in a series in powers of $x-1$ for each of two linearly independent solutions as $x\rightarrow1$.
I think the singular points are 0 and 1, and they are both regular. But I am having some trouble with the series solution.