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
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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
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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