Consider the following linear non-homogeneous recurrence relation where g0=1,g1=3 and gn+1=7gn−10gn−1+2n−3 for n≥1. The reduced closed form of gn can be represented as gn=1/A(P×pn+Q×qn+Rn+S) where p and q are the solutions of the characteristic equation of the recurrence. Given that, p is smaller than q. Here, P,Q,R,S,A are all integers. 1. What is the value of P? 2. What is the value of Q?? 3. What is the value of R+S? 4. What is the value of A?

Consider the following linear non-homogeneous recurrence relation where g0=1,g1=3 and gn+1=7gn−10gn−1+2n−3 for n≥1. The reduced closed form of gn can be represented as gn=1/A(P×pn+Q×qn+Rn+S) where p and q are the solutions of the characteristic equation of the recurrence. Given that, p is smaller than q. Here, P,Q,R,S,A are all integers. 1. What is the value of P? 2. What is the value of Q?? 3. What is the value of R+S? 4. What is the value of A?

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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