Hi! I have 3 really problem here that i beg anyone who knows more to help me: 1. How to solve the equation of the kind xy'-3y=3 using power series. I usually solve kind pf homogeneous equations. Here the problem rises when i want to equalise all the coefficient of x^n to 0. Because of that 3 there i don't now how to procede. 2. I don't know what is exactly an ordinary point. They say that an ordianry point is a point at which an ordinary differential equation is "analytic",but i don't understand that term "analytic". 3. Is it important to look for the radius of convergence first, when you want to solve an ODE using power series? I always consider around x=0.