Find period-two solutions (if exist) of the following diference equations: (a) Xn+1 = Xn + (Xn − 1)(xn — 4)², n = 0, 1, ...; (b) Xn+1 = 2xn x³, 3 'n, n = ¤ 0, 1, ...;
Find period-two solutions (if exist) of the following diference equations: (a) Xn+1 = Xn + (Xn − 1)(xn — 4)², n = 0, 1, ...; (b) Xn+1 = 2xn x³, 3 'n, n = ¤ 0, 1, ...;
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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Transcribed Image Text:Problem 2.
Find period-two solutions (if exist) of the following diference equations:
(a)
Xn+1 = Xn + (Xn − 1) (xn — 4)², n = 0, 1, ...;
(b)
Xn+1
=
2xn — x², n = 0, 1, ...;
3
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