Problem 5 on the attached Sheet here View attachment M2Uebung2.pdf
We studied the Power Series Method and how to calculate a linearly independent solution if one solution is already known.
So we need to find one solution (probably) using the power series method and then using that solution we can find the 2nd linearly independent solution.
The Attempt at a Solution
See the attachment for working. View attachment Übung 5.pdf
So I have found a recursion formula.
And it can be seen that all even coefficients above n=2 are vanishing, but what about a2 and the odd coefficients?
Thanks for your help!