IFoA Exam IFoA_CAA_M0 Topic 1 Question 34 Discussion

The particular solution of the second-order difference equation

yn+2 - 6yn+1 + 8yn = 0 n 2

subject to the initial conditions y0 = 3 and y1 = 2may be written in the form

yn = A(2n) + B(4n) n 0.

Determine the values of (A, B).