ABSTRACT

This chapter is concerned with the nth-order linear difference equation with constant coefficients,

yk+n + a1yk+n−1 + a2yk+n−2 + · · ·+ anyk = Rk, (4.1) where the ai are a given set of n constants, with an 6= 0, and Rk is a given function of k. If Rk = 0, then equation (4.1) is homogeneous:

yk+n + a1yk+n−1 + a2yk+n−2 + · · ·+ anyk = 0; (4.2) for Rk 6= 0, equation (4.1) is inhomogeneous.