a.Convert the following difference equation into a first-order form: : = Yt-1 + 2yt-2(Yt-3 – 1) b.Write the update function code in Python for the following system.

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aConvert the following difference equation into a first-order form:
Yt = Yt-1 + 2yt-2(Yt-3 – 1)
b.Write the update function code in Python for the following system.
X = 3xt-1 + 2yt-1
Yt = -Xt-1 + Yt-1
Xo = 1
Yo = 0
s.Blow is the equation for the logistic model. What is the carrying capacity in this model. Explain
your answer.
x, - (-- + 5)-
4
3
d. The following equations model the Predator Prey system. What happens at extreme values for y
and z?
Yt-1
1
Ye = Yt-1 + 3y;-1 (1-1)-(
-1 + 1)
Yt-1
4zt-1 +1.
Z = 0.7zę-1 + 5yt-1Zt-1
Transcribed Image Text:aConvert the following difference equation into a first-order form: Yt = Yt-1 + 2yt-2(Yt-3 – 1) b.Write the update function code in Python for the following system. X = 3xt-1 + 2yt-1 Yt = -Xt-1 + Yt-1 Xo = 1 Yo = 0 s.Blow is the equation for the logistic model. What is the carrying capacity in this model. Explain your answer. x, - (-- + 5)- 4 3 d. The following equations model the Predator Prey system. What happens at extreme values for y and z? Yt-1 1 Ye = Yt-1 + 3y;-1 (1-1)-( -1 + 1) Yt-1 4zt-1 +1. Z = 0.7zę-1 + 5yt-1Zt-1
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