1. The problem statement, all variables and given/known data Find two linearly independent power series solutions for the differential equation y′′ − xy = 0 about the ordinary point x0 = 0. Your answer should include a general formula for the coefficients. 3. The attempt at a solution Im having trouble seeing how x0 = 0 is an ordinary point (i assume ordinary point means regular singular point?). For it to be an ordinary point (x-x0)p(x) and (x-x0)q(x) have to be analytic at 0 right? (x-x0)p(x) = x(0/x) = 0 (x-x0)q(x) = x(-1/x2) = -1/x which is not analytic at 0? So how can x0=0 be an ordinary point? Please help!!