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Sturm Liouville Form

  1. Mar 24, 2008 #1
    1. The problem statement, all variables and given/known data

    y''+(2/x)y'+[landa]y=0, 0<x<1. y(0) must be finite, and y(1) = 0

    Put this equation into sturm liouville form and state the weight function w(x)

    2. Relevant equations

    Sturm Liouville Form: {-d/dx(p(x)d/dx)+q(x)}y(x)=[landa]w(x)y(x)

    3. The attempt at a solution

    I'm almost certain the solution is {-d/dx(x^2dy/dx)=[landa]x^2y(x) so that w(x)=x^2

    I just wanted to check that was correct because it comes right at the start of a computer project so it would be very annoying to find out I'd got that part wrong!

    Thanks!

    Gillian
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Mar 24, 2008 #2

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    Yes, that is correct.

     
  4. Mar 24, 2008 #3
    Great, thanks!
     
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