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a) xn-1 = 3x, b) xn+1 = Yn-1 = Xn + 2yn¡ Yn+1 d) Xn-1 = Зх, - 3xn Yn Ул-1 — — х, + 2у, - - Xn 2y, – Zn Zn-1 = - Yn + 3zn;

a) xn-1 = 3x, b) xn+1 = Yn-1 = Xn + 2yn¡ Yn+1 d) Xn-1 = Зх, - 3xn Yn Ул-1 — — х, + 2у, - - Xn 2y, – Zn Zn-1 = - Yn + 3zn;

Advanced Engineering Mathematics
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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Please solve (a) and (d) only!

23.8 Find the general solution of the following systems of difference equations: a) Xn-1 = 3x, b) Xn+1 = Ул C) Xn+1 = Xn - Yn Yn-1 = Xn + 2yn; Yn+1 = - Xn + 5yn; Yn-1 = 2.x, + 4yn; d) xn-1 = 3x, - Yn e) Xn-1 = : 4х, — 2у, — 2г, Yn-1 = - Xn + 2yn - Zn Yn-1 = Ул Zn-1 - Yn + 3z,; + In. %3D Zn-1 %3D Xn
Transcribed Image Text:23.8 Find the general solution of the following systems of difference equations: a) Xn-1 = 3x, b) Xn+1 = Ул C) Xn+1 = Xn - Yn Yn-1 = Xn + 2yn; Yn+1 = - Xn + 5yn; Yn-1 = 2.x, + 4yn; d) xn-1 = 3x, - Yn e) Xn-1 = : 4х, — 2у, — 2г, Yn-1 = - Xn + 2yn - Zn Yn-1 = Ул Zn-1 - Yn + 3z,; + In. %3D Zn-1 %3D Xn
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