- #1
wolfandraven
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Homework Statement
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)
Homework Equations
Sturm Liouville Form: {-d/dx(p(x)d/dx)+q(x)}y(x)=[landa]w(x)y(x)
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