For the SturmLiouville eigenvalue problem, d2 dx2 + = 0 with d dx(0) = 0 and d dx(L)=0
Chapter 5, Problem 5.3.5(choose chapter or problem)
For the SturmLiouville eigenvalue problem, d2 dx2 + = 0 with d dx(0) = 0 and d dx(L)=0, verify the following general properties: (a) There is an infinite number of eigenvalues with a smallest but no largest. (b) The nth eigenfunction has n 1 zeros. (c) The eigenfunctions are complete and orthogonal. (d) What does the Rayleigh quotient say concerning negative and zero eigenvalues?
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