1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

How to convert Sturm Liouville to into Bessel's eqn.

  1. Jan 8, 2014 #1
    Hello, I've been given a Sturm Liouville problem to solve:

    xy" + 2y' + λxy = 0

    y(∏) = 2, y(2∏) = 0

    I'm not sure how to solve this problem. However, it looks similar to Bessel's equation. Any ideas?

  2. jcsd
  3. Jan 8, 2014 #2


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    I would suggest trying a series solution noting ##x=0## is a regular singular point.
  4. Jan 8, 2014 #3


    User Avatar
    Science Advisor
    Homework Helper

    I would try some substitutions first. Like maybe u=yx.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted