What is the general form of the particular solution, guaranteed to exist by Theorem 6, of the linear non- homogeneous relation an = r(n) + F(n) where r(n) is some homogeneous recurrence relation with roots 1, 3, and 3, and where F(n) = n² . 3" + 3"+2?

What is the general form of the particular solution, guaranteed to exist by Theorem 6, of the linear non- homogeneous relation an = r(n) + F(n) where r(n) is some homogeneous recurrence relation with roots 1, 3, and 3, and where F(n) = n² . 3" + 3"+2?

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

What is the general form of the particular solution, guaranteed to exist by Theorem 6, of the linear non-
homogeneous relation an = r(n) + F(n) where r(n) is some homogeneous recurrence relation with roots 1, 3,
and 3, and where F(n) = n'
. 3" + 37+2?
SELECT THE CORRECT ANSWER
(P2n? + po) · 3"
(P2n + Pin + po) · 3" + qo · 3n+2
(p2n* + Pin + Pon?) · 3"
n² (p2n² + 9po) · 3"

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