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Consider the following linear non-homogeneous recurrence relation where ao = 1, a1 = 3 and 5a, + 2" = 4an-1 + an+1 for n21. The closed form of a, can be represented as an = sp" + tg" + ur" where p and q are the solutions of the characteristic equation of the recurrence. Given that, pis smaller than g. What is the value of p? What is the value of g?

Consider the following linear non-homogeneous recurrence relation where ao = 1, a1 = 3 and 5a, + 2" = 4an-1 + an+1 for n21. The closed form of a, can be represented as an = sp" + tg" + ur" where p and q are the solutions of the characteristic equation of the recurrence. Given that, pis smaller than g. What is the value of p? What is the value of g?

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 ag = 1, a1 = 3 and 5a, + 2" = 4an-1 + an+1 for n>1. The closed form of a, can be represented as a, = sp" + tg" + ur" where p and g are the solutions of the characteristic equation of the recurrence. Given that, pis smaller than g. What is the value of p? What is the value of g??
Transcribed Image Text:Consider the following linear non-homogeneous recurrence relation where ag = 1, a1 = 3 and 5a, + 2" = 4an-1 + an+1 for n>1. The closed form of a, can be represented as a, = sp" + tg" + ur" where p and g are the solutions of the characteristic equation of the recurrence. Given that, pis smaller than g. What is the value of p? What is the value of g??
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