Recent content by piggees

Hi, Buzz, just no need to apologize. I perceived the mistaken factorization in your original reply right away, but I got your point and fixed it myself. I intended to achieve a solution (but not series solution) for a general polynomial p, yet by practicing your method I thought that almost...

Thank you, Buzz. Your reply helps a lot.

Dear all I've been trying to work out the general solution to a 2nd order ODE of the form f''(x)+p(x)*f(x)=0 p(x) is a polynomial for my case. I believe series method should work, but for some reason I would prefer a general solution using other methods. I'll be much appreciative for any help...

Thanks a lot.

OK, I think I get it. Thank you.

thank you all for the replies. That does help.

Hi, I'm new here. I am curious that why a power series must have a radius of convergence? I mean, even in a complex plane, there is always a so-called convergent radius for a power series. Is it possible that a power series is convergent for a certain range in one direction, and for an apparent...