(k) Yk+1+Yk = (-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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Section 2.2
2.1. Solve the following difference equations:
(a) Yk+1+ Yk = 2+ k,
(b) Yk+1 – 2yk = k³,
(с) ук+1
"Yk = 0,
(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 + 2k – k²,
(g) Yk+1+ Yk = k + 2 · 3k,
(h) Yk+1 – Yk = ke“,
Yk = Bak*,
= cos (bk),
(k) Yk+1 + Yk = (-1)*,
Yk – k.
,2k
(i) Ук+1
(j) Yk+1 – aYk
(1)
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, (с) ук+1 "Yk = 0, (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 + 2k – k², (g) Yk+1+ Yk = k + 2 · 3k, (h) Yk+1 – Yk = ke“, Yk = Bak*, = cos (bk), (k) Yk+1 + Yk = (-1)*, Yk – k. ,2k (i) Ук+1 (j) Yk+1 – aYk (1) Yk+1 k+1
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