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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Transcribed Image Text: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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