Assignment:
Eigenvalues, Eigenfunctions and Sturm-Liouville Problems
Q1. y’’ + k*y = 0 BC: y’(0) = 0 y’(L) = 0
Q2. y’’ + k*y = 0 BC: y(0) = y(π) y’(0) = y’(π)
Q3. y’’ + k*y = 0 BC: y(0) = 0 y(π) +2*y’(π) = 0
Q4. y’’ + 2*y’ + (1+k)*y = 0 BC: y(0) = y(1) =0
Provide complete and step by step solution for the question and show calculations and use formulas.