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Consider the following linear non-homogeneous recurrence relation where a, = 1,a, = and 5a, + 2" = 4am-1+ an+for n > 1 The closed form of a, can be represented as a, = sp + tq" + ur#here p and q are the solutions of the characteristic equation of the recurrence. Given that, p is smaller than q. What is the value of p? What is the value of q?? What is the value of s+t+u

Consider the following linear non-homogeneous recurrence relation where a, = 1,a, = and 5a, + 2" = 4am-1+ an+for n > 1 The closed form of a, can be represented as a, = sp + tq" + ur#here p and q are the solutions of the characteristic equation of the recurrence. Given that, p is smaller than q. What is the value of p? What is the value of q?? What is the value of s+t+u

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 a, = 1, a, = 3nd 5a, + 2" = 4a,-1 + an+for n > 1 The closed form of a, can be represented as a, = sp" + tq" + urkhere p and q are the solutions of the characteristic equation of the recurrence. Given that, p is smaller than q. %3D What is the value of p? What is the value of q?? What is the value of s +t +u
Transcribed Image Text:Consider the following linear non-homogeneous recurrence relation where a, = 1, a, = 3nd 5a, + 2" = 4a,-1 + an+for n > 1 The closed form of a, can be represented as a, = sp" + tq" + urkhere p and q are the solutions of the characteristic equation of the recurrence. Given that, p is smaller than q. %3D What is the value of p? What is the value of q?? What is the value of s +t +u
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