Consider the DTDS X1+1 = -0.7x; + 5 A) Find the updating function of the DTDS. B) Find the equilibrium point of the DTDS x* C) Give the solution formula for the DTDS with the general initial value X0. D) Calculate X12 if XO = 2. E) Graph the updating function and draw the cobweb diagram of the DTDS from Xo = 2 for 3 steps. F) Is the equilibrium stable or unstable? Write your solutions on a piece of paper, scan and upload your solution below. (click on Add File)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the DTDS
Xi+1 = -0.7x; + 5
A) Find the updating function of the DTDS.
B) Find the equilibrium point of the DTDS x*
C) Give the solution formula for the DTDS with the general initial value X0.
D) Calculate X12 if X0 =
2.
E) Graph the updating function and draw the cobweb diagram of the DTDS from
2 for 3 steps.
F) Is the equilibrium stable or unstable?
Write your solutions on a piece of paper, scan and upload your solution below. (click
on Add File)
Transcribed Image Text:Consider the DTDS Xi+1 = -0.7x; + 5 A) Find the updating function of the DTDS. B) Find the equilibrium point of the DTDS x* C) Give the solution formula for the DTDS with the general initial value X0. D) Calculate X12 if X0 = 2. E) Graph the updating function and draw the cobweb diagram of the DTDS from 2 for 3 steps. F) Is the equilibrium stable or unstable? Write your solutions on a piece of paper, scan and upload your solution below. (click on Add File)
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