Solve the following difference equations: (a) Yk+1+Yk = 2+ k,

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 17AEXP
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PROBLEMS
Section 2.2
2.1. Solve the following difference equations:
(a) Yk+1+ Yk = 2+ k,
(b) Yk+1 – 2yk = k³,
(c) Yk+1
-
3kyk = 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,
kek,
(h) Yk+1 – Yk =
Bak?
(j) Yk+1 – ayk = cos(bk),
(k) Yk+1 +Yk = (-1)k,
* = k.
(i) Yk+1
(1)
Yk+1
k+1
Transcribed Image Text:PROBLEMS Section 2.2 2.1. Solve the following difference equations: (a) Yk+1+ Yk = 2+ k, (b) Yk+1 – 2yk = k³, (c) Yk+1 - 3kyk = 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, kek, (h) Yk+1 – Yk = Bak? (j) Yk+1 – ayk = cos(bk), (k) Yk+1 +Yk = (-1)k, * = k. (i) Yk+1 (1) Yk+1 k+1
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