Ул c) xn+1 = Xn - Yn - xn + 5yn; Yn+1 = 2х, + 4yn; e) Xn+1 4х, — 2ул — 2г, Yn+1 = Yn Zn+1 = Xn + Zn•

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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Could you please help with c and e?

23.8 Find the general solution of the following systems of difference equations:
a) xn+1 = 3x,n
b) xn+1 =
Yn
c) Xn+1
Xn
Yn
Yn+1 =
Xn + 2yni
Yn+1 =
- Xn + 5y,;
Yn+1 = 2x, + 4yn;
d) Xn+1 =
Зх, —
Ул
e) Xn+1
4x, — 2ул — 2г,
Yn+1 =
- x + 2yn - Zn
Yn+1 =
Yn
Zn+) =
- Yn + 3zn;
Zn+1 =
+ Zn.
Transcribed Image Text:23.8 Find the general solution of the following systems of difference equations: a) xn+1 = 3x,n b) xn+1 = Yn c) Xn+1 Xn Yn Yn+1 = Xn + 2yni Yn+1 = - Xn + 5y,; Yn+1 = 2x, + 4yn; d) Xn+1 = Зх, — Ул e) Xn+1 4x, — 2ул — 2г, Yn+1 = - x + 2yn - Zn Yn+1 = Yn Zn+) = - Yn + 3zn; Zn+1 = + Zn.
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