Consider the following linear non-homogeneous recurrence relation where go = 1, g1 = 3and In+1 7gn – 10gn-1 – n'for n >1 The reduced closed form of gn can be represented as 1 In P x p" + Q x q" + Rn² + Sn +T) A 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,T, A are all integers.
Consider the following linear non-homogeneous recurrence relation where go = 1, g1 = 3and In+1 7gn – 10gn-1 – n'for n >1 The reduced closed form of gn can be represented as 1 In P x p" + Q x q" + Rn² + Sn +T) A 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,T, A are all integers.
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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Transcribed Image Text:What is the value of T?
Transcribed Image Text:Consider the following linear non-homogeneous
recurrence relation where go = 1, g1 = 3and
In+1
7gn – 10gn-1 –
n'for n >1 The
reduced closed form of gn can be represented as
1
In
P x p" + Q x q" + Rn² + Sn +T)
A
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,T, A
are all integers.
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