(c) Consider the pair of coupled first order difference equations g(n+1) = f(n), f(n+1)=8f(n)-16g(n) + 18, where n is an integer > 1. (i) Find the associated second order difference equation for f. (ii) Hence find the direct prescriptions for f(n) and g(n) if f(1) = 34, and g(1) = 5.
(c) Consider the pair of coupled first order difference equations g(n+1) = f(n), f(n+1)=8f(n)-16g(n) + 18, where n is an integer > 1. (i) Find the associated second order difference equation for f. (ii) Hence find the direct prescriptions for f(n) and g(n) if f(1) = 34, and g(1) = 5.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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