Solve this Differential Equation:
Thanks in advance..
First solve the homogeneous equation:
by power series. Try and obtain the expression which reduces to . Suppose is a solution of the homogeneous equation. Then can you use reduction of order by letting to obtain the solution of the non-homogeneous equation?
If I use and go through the steps, I get:
Try and get to that part, then let , integrate twice to obtain v. Do the same with .