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Problem 6 0.0/4.0 points (graded) Consider the following linear non-homogeneous recurrence relation where go = 1, g1 = 3and gn+1 = 7gn – 10gn-1 +n +1 for n > 1 The reduced closed form of g,n can be represented as gn = (P x p" + Q x q" + Sn +T) where p and q are the solutions of the characteristic equation of the recurrence. Given that, p is smaller than q. Here, P, Q, S,T, A are all integers. What is the value of P? What is the value of Q??

Problem 6 0.0/4.0 points (graded) Consider the following linear non-homogeneous recurrence relation where go = 1, g1 = 3and gn+1 = 7gn – 10gn-1 +n +1 for n > 1 The reduced closed form of g,n can be represented as gn = (P x p" + Q x q" + Sn +T) where p and q are the solutions of the characteristic equation of the recurrence. Given that, p is smaller than q. Here, P, Q, S,T, 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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Problem 6 0.0/4.0 points (graded) Consider the following linear non-homogeneous recurrence relation where go = 1, g = 3and gn+1 = 7gn – 10gn-1 +n+1 for n >1The reduced closed form of g,n can be represented as gn = (P x p" + Q x q" + Sn +T) where p and q are the solutions of the characteristic equation of the recurrence. Given that, p is smaller than q. Here, P, Q, S,T, A are all integers. What is the value of P? What is the value of Q?? 5:25 PM
Transcribed Image Text:Problem 6 0.0/4.0 points (graded) Consider the following linear non-homogeneous recurrence relation where go = 1, g = 3and gn+1 = 7gn – 10gn-1 +n+1 for n >1The reduced closed form of g,n can be represented as gn = (P x p" + Q x q" + Sn +T) where p and q are the solutions of the characteristic equation of the recurrence. Given that, p is smaller than q. Here, P, Q, S,T, A are all integers. What is the value of P? What is the value of Q?? 5:25 PM
What is the value of Q?? What is the value of S? What is the value of T? 5:25 PM
Transcribed Image Text:What is the value of Q?? What is the value of S? What is the value of T? 5:25 PM
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