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!

Homework Help: 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?

    Thanks,
    Daniel
     
  2. jcsd
  3. Jan 8, 2014 #2

    LCKurtz

    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

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    I would try some substitutions first. Like maybe u=yx.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted