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: Rayleigh quotient

  1. Nov 20, 2005 #1
    Use the Rayleight quotient to find a good approximation for the principal eigenvalue of the Sturm-Liouville problem.
    [tex] u'' + (\lambda - x^2)u = 0 [/tex]
    [tex] 0 < x < 0 [/tex]
    [tex] u(0) = u'(1) = 0 [/tex]
    Any help?
  2. jcsd
  3. Nov 21, 2005 #2
    Nobody has any idea?
  4. Nov 21, 2005 #3
    http://gershwin.ens.fr/vdaniel/Doc-Locale/Cours-Mirrored/Methodes-Maths/white/ [Broken]
    Last edited by a moderator: May 2, 2017
  5. Nov 21, 2005 #4

    Back to the problem, I know that you multiply both sides by u, integrate by parts, and then solve for lambda, after that I'm stuck.
    Last edited by a moderator: May 2, 2017
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook