The generating function of a_{n+1}=8a_{n}+4n*1,where a,=3 isΟ a. Σ2χ) ^[k)+Σ (4x) ^{Ο b. Σ (2x) ^ [k}+ 2Σ (4x) ^K)Ο c. 1/2(Σ (2x) ^[k)+Σ (4x) ^{k})Ο d.2Σ(2x) ^[k)+2Σ (4x) ^[K)

Given an+1=8an+4n+1 Multiply the recurrence relation by xn an+1xn=8anxn+4n+1xn…

Answered: The generating function of…

The generating function of a_{n+1}=8a_{n}+4*, where a,=3 is Ο a. Σ2x)^+Σ (4x) ^Κ O b. E(2x)^{k}+2Z(4x)^{k} O c. 1/2(E(2x)^{k}+E(4x)^{k}) Ο d.2Σ(2x) ^[k)+ 2 Σ (4x) ^[K)

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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Question

The generating function of a_{n+1}=8a_{n}+4n*1,
where a,=3 is
Ο a. Σ2χ) ^[k)+Σ (4x) ^{
Ο b. Σ (2x) ^ [k}+ 2Σ (4x) ^K)
Ο c. 1/2(Σ (2x) ^[k)+Σ (4x) ^{k})
Ο d.2Σ(2x) ^[k)+2Σ (4x) ^[K)

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