Mentor note: moved the thread to the homework forum So I was given a few problems to take home, to complete by the professor. My question is not regarding how to solve the problems but rather, if I understand the instructions. We are given the following instructions. Find the general solutions on (0,infinity) of 2(x^2)y''-x(x-1)y'-y=o. I believe, since the problem is asking me to find solutions on the interval (0,infinity), we do not need to worry about the regular singular point at x=0 (power series expansion does not exist at x=0). So my solutions will be in the form of power series. Method of Frobenius is not required ( solutions will have the form ΣCnX^(n+r)). Regular power series solutions is what the problem is asking me correct? Thanks.