5. Consider the Sturm-Liouville eigenvalue problem, do do +λ=0 with dx² (0) = 0 and (L) = 0. dx dx a. Verify the general properties below. i. There is an infinite number of eigenvalues, with a smallest one but no largest one. ii. The nth eigenfunction has n - 1 zeros. iii. The eigenfunctions are complete and orthogonal. b. What does the Rayleigh quotient say concerning negative and zero eigenvalues?