19k+1 (g) Yk+1+ Yk = k + 2 · 3k, (h) Yk+1 – Yk = kek, -

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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Section 2.2
2.1. Solve the following difference equations:
(a) Yk+1+Yk = 2+ k,
(b) Yk+1 – 2Yk
k3,
(c) Yk+1 – 3
(d) Yk+1 – Yk = 1/k(k+ 1),
(e) Yk+1+ Yk = 1/k(k+ 1),
(f) (k + 2)yk+1 – (k+1)yk = 5+ 2* – k2,
(g) Yk+1+ Yk = k +2 · 3k,
(h) Yk+1
Yk
0,
Yk
= ke*,
(i) Yk+1
Bak?
Yk
(j) Yk+1
ayk
= cos(bk),
(k) Yk+1 + Yk = (-1)k,
(1) - * = k.
Yk+1
k+1
Transcribed Image Text:Section 2.2 2.1. Solve the following difference equations: (a) Yk+1+Yk = 2+ k, (b) Yk+1 – 2Yk k3, (c) Yk+1 – 3 (d) Yk+1 – Yk = 1/k(k+ 1), (e) Yk+1+ Yk = 1/k(k+ 1), (f) (k + 2)yk+1 – (k+1)yk = 5+ 2* – k2, (g) Yk+1+ Yk = k +2 · 3k, (h) Yk+1 Yk 0, Yk = ke*, (i) Yk+1 Bak? Yk (j) Yk+1 ayk = cos(bk), (k) Yk+1 + Yk = (-1)k, (1) - * = k. Yk+1 k+1
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