The discussion revolves around determining the lower bound of the radius of convergence for series solutions of a differential equation given by (2+x^2)y''-xy'+4y=0, centered at x0=0.
There is an ongoing exploration of the problem, with participants providing hints and encouraging the original poster to engage more deeply with the process. Some have expressed confidence in their understanding after further consideration.
Participants note the lack of explicit starting points from the original poster and the potential need for additional information to clarify the problem setup.
nickmai123 said:Well, we can't really help you unless you start the process. Do you have any idea where to go from here?
EDIT: If you've got absolutely no idea where to start, you should just Google "radius of convergence series solutions."
nickmai123 said:What does discontinuities of P(x) have to do with anything? A hint would be writing the DE in the form y^{''}+P(x)y^{'}+Q(x)y=0 and using a Fuchs' Theorem.