1. Determine which of these are linear homogeneous recurrence relations with constant coefficients. Also, find the degree of those that are., an-1 (a) an = 3a,-1 + 4an-2 + 5an-3 (b) ап (c) a +n = (an-1)² (а) а, — а,-1+ 2а,-з (е) а, — 3 (f) a, = an-1 +an-2+n+3 (8) а, — 4а,-2 + 5а,-4 + 9a,n-7 3
1. Determine which of these are linear homogeneous recurrence relations with constant coefficients. Also, find the degree of those that are., an-1 (a) an = 3a,-1 + 4an-2 + 5an-3 (b) ап (c) a +n = (an-1)² (а) а, — а,-1+ 2а,-з (е) а, — 3 (f) a, = an-1 +an-2+n+3 (8) а, — 4а,-2 + 5а,-4 + 9a,n-7 3
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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![1. Determine which of these are linear homogeneous recurrence relations with constant coefficients. Also,
find the degree of those that are.,
an-1
(a) an = 3a,-1 + 4an-2 + 5an-3
(b) ап
(c) a +n = (an-1)²
(а) а, — а,-1+ 2а,-з
(е) а, —
3
(f) a, = an-1 +an-2+n+3
(8) а, — 4а,-2 + 5а,-4 + 9a,n-7
3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6513db26-79cd-42e4-9371-d6e2b153317b%2F9ac057d4-18b0-44f9-baf7-52bc2d6c9797%2Ftva877g_processed.png&w=3840&q=75)
Transcribed Image Text:1. Determine which of these are linear homogeneous recurrence relations with constant coefficients. Also,
find the degree of those that are.,
an-1
(a) an = 3a,-1 + 4an-2 + 5an-3
(b) ап
(c) a +n = (an-1)²
(а) а, — а,-1+ 2а,-з
(е) а, —
3
(f) a, = an-1 +an-2+n+3
(8) а, — 4а,-2 + 5а,-4 + 9a,n-7
3
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