The equation is of the Cauchy Euler type.
Make the substitution
then
Can you finish from here?
This gives the ODE
Question: Find the general solution to the equation: .
Attempt at solution: The main catch to this question that causes me problems is the fact that the coefficients are not numbers but rather variables such as t in the question. I know to use the method of undetermined coefficients to solve this question, but i am just stuck on that part!
Thanks to all who contribute!