For the following ODE
4. xy'' +y' -xy = 0; x0 = 0
a) What are the points of singularity for the problem?
b) Does this ODE hold a general power series solution at thespecific x0? Justify your answer,
i) if your answer is yes, the proceed as follows: Compute theradius of analyticity and report the corresponding interval, andIdentify the recursion formula for the power series coefficientaround x0, and write the corresponding solution with at least fournon-zero terms explicitly written
ii) If your answer is no, then please elaborate why there is nota general power series solution, and proceed to solve it using theFrobenius method
