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Consider the following linear non-homogeneous recurrence relation where g = 1, 91 = 3 and 9n+1=79,- 109,-1+ 2n for n> 1. The reduced closed form of g, can be represented as g, =(Px p" + Q x q" + Rn+ S) where p and g are the solutions of the characteristic equation of the recurrence. Given that, p is smaller than g. Here, P,Q, R, S, A are all integers. What is the value of P? What is the value of Q?

Consider the following linear non-homogeneous recurrence relation where g = 1, 91 = 3 and 9n+1=79,- 109,-1+ 2n for n> 1. The reduced closed form of g, can be represented as g, =(Px p" + Q x q" + Rn+ S) where p and g are the solutions of the characteristic equation of the recurrence. Given that, p is smaller than g. Here, P,Q, R, S, A are all integers. What is the value of P? What is the value of Q?

Advanced Engineering Mathematics
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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Consider the following linear non-homogeneous recurrence relation where g0 = 1, 91 = 3 and gn+1=79, – 109n-1 + 2n for n >1. The reduced closed form of g, can be represented as g,= (Px p + Q × q" + Rn+ S) where p and q are the solutions of the characteristic equation of the recurrence. Given that, p is smaller than g. Here, P, Q, R, S, A are all integers. %3D What is the value of P? What is the value of Q??
Transcribed Image Text:Consider the following linear non-homogeneous recurrence relation where g0 = 1, 91 = 3 and gn+1=79, – 109n-1 + 2n for n >1. The reduced closed form of g, can be represented as g,= (Px p + Q × q" + Rn+ S) where p and q are the solutions of the characteristic equation of the recurrence. Given that, p is smaller than g. Here, P, Q, R, S, A are all integers. %3D What is the value of P? What is the value of Q??
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