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Consider the following linear non-homogeneous recurrence relation where a = 1, a1 5an + 2" = 4an-1 + an+for n > 1 The closed form of an can be represented as an = sp" +tq" + ur" and %3D where and q are the solutions of the characteristic equation of the recurrence. Given that, p is smaller than q.

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

b)What is the value of s+t+u?

c)What is the value of a10?

3and Consider the following linear non-homogeneous recurrence relation where ao = 1, a1 5an + 2" where p and q are the solutions of the characteristic equation of the recurrence. Given that, p is smaller || 4an-1 + an+for n > 1 The closed form of an can be represented as an = sp" + tq" + urn than q.
Transcribed Image Text:3and Consider the following linear non-homogeneous recurrence relation where ao = 1, a1 5an + 2" where p and q are the solutions of the characteristic equation of the recurrence. Given that, p is smaller || 4an-1 + an+for n > 1 The closed form of an can be represented as an = sp" + tq" + urn than q.
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