Question 4 . For the following two initial value problems, we cannot guarantee that a power series solution centered at x = 0 exists since
Question For the following two initial value problems, we cannot guarantee that a power series solution centered at exists since is not a regular point. However, in some cases, we may still be able to find one anyway, even if we can't guarantee it will work beforehand.
i
ii
For one of the above equations, we can still find a solution esing power series centered at and for the other we cannot. Which is which?