IN THIS CHAPTER we develop series representations of functions that will be used to solve partial differential equations in Chapter 12.
- 11.1: Eigenvalue Problems for y'' + λy = 0
- This section deals with five boundary value problems for the differential equation y'' + λy = 0. They are related to problems in partial differential equations that will be discussed in Chapter 12. We define what is meant by eigenvalues and eigenfunctions of the boundary value problems, and show that the eigenfunctions have a property called orthogonality.