Consider the equation: y'' + k*y = 0 with BC: y(0) = 0 , y() = a 0
Answer the following:
1. What are the restrictions on k such that there is a nontrivial solution?
2. Find a solution using eigenfunction expansion on [0,]
3. Find a solution to the differential equation using any method
4. Compare answers 2 and 3 show they are equivalent
Please see the attached file for the fully formatted problems.
keywords: eigenvalues, eigenfunctions, ODEs© BrainMass Inc. brainmass.com October 9, 2019, 7:15 pm ad1c9bdddf
Eigenvalue solutions of differential equations with boundary conditions are investigated. The solution is detailed and well presented.