an = nan-1, ao = 5 an = 2nan-1, ao = 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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part G H

17. Find the solution to each of these recurrence relations and
initial conditions. Use an iterative approach such as that
used in Example 10.
a) a₁ = 3a₁-1, ao = 2
b) an = an-1 + 2, a = 3
c) an = an-1 +n, a = 1
d) an = an-1 + 2n + 3, ao = 4
e) an = 2an-1-1, a = 1
f) an = 3an-1 + 1, a = 1
g) annan-1, a = 5
h) an = 2nan-1,90 = 1
Transcribed Image Text:17. Find the solution to each of these recurrence relations and initial conditions. Use an iterative approach such as that used in Example 10. a) a₁ = 3a₁-1, ao = 2 b) an = an-1 + 2, a = 3 c) an = an-1 +n, a = 1 d) an = an-1 + 2n + 3, ao = 4 e) an = 2an-1-1, a = 1 f) an = 3an-1 + 1, a = 1 g) annan-1, a = 5 h) an = 2nan-1,90 = 1
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