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Decide if each of the following recurrence relations is a linear homogeneous recurrence with constant coefficients (Ihcc). Answer "Y" for yes and "N" for no. 1. An = an-1 + an-4 2. аn — ап-2 3. а, — За,-1 4. a, = a-1 5. An = An-1 + 2an-3 6. An :3

Decide if each of the following recurrence relations is a linear homogeneous recurrence with constant coefficients (Ihcc). Answer "Y" for yes and "N" for no. 1. An = an-1 + an-4 2. аn — ап-2 3. а, — За,-1 4. a, = a-1 5. An = An-1 + 2an-3 6. An :3

Advanced Engineering Mathematics
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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Decide if each of the following recurrence relations is a linear homogeneous recurrence with constant coefficients (Ihcc). Answer "Y" for yes and "N" for no. 1. An = an-1 + an-4 2. аn — ап-2 3. а, — За,-1 4. a, = a-1 5. аn = an-1 + 2an-3 6. аn :3 Find the degree of the following Ihcc recurrences: 1. а, 3D 5аp-1 2. а, 3D аn-7 + 7а,-8 3. аn 2a,-1 + 2a,-6 3D а,-2 + 4а,-3 + 2а,-6 + 4an-3 + 2a,-6 4. аn
Transcribed Image Text:Decide if each of the following recurrence relations is a linear homogeneous recurrence with constant coefficients (Ihcc). Answer "Y" for yes and "N" for no. 1. An = an-1 + an-4 2. аn — ап-2 3. а, — За,-1 4. a, = a-1 5. аn = an-1 + 2an-3 6. аn :3 Find the degree of the following Ihcc recurrences: 1. а, 3D 5аp-1 2. а, 3D аn-7 + 7а,-8 3. аn 2a,-1 + 2a,-6 3D а,-2 + 4а,-3 + 2а,-6 + 4an-3 + 2a,-6 4. аn
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