In each of 41 and 42 show that the point x = 0 is a regular singular point. In each
Chapter 5, Problem 41(choose chapter or problem)
In each of 41 and 42 show that the point x = 0 is a regular singular point. In each problem try to find solutions of the form n=0 anxn. Show that (except for constant multiples) there is only one nonzero solution of this form in and that there are no nonzero solutions of this form in 42. Thus in neither case can the general solution be found in this manner. This is typical of equations with singular points.
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer