wnloaded 07/14/20 to 152 Determine when the following steady states are stable: x=0 (a) Xn+1 = rxn(1 - xn), (b) Xn+1 = x²(1 − xn), (c) Xn+1 = 1/(2 + xn), - (d) Xn+1 = Xn In x², x = (1 + √5)/2 x = √2-1 x=e¹/² Sketch the functions f(x) given in this problem. Use the cobwebbing method to sketch the approximate behavior of solutions to the equations from some initial starting value of xo.
wnloaded 07/14/20 to 152 Determine when the following steady states are stable: x=0 (a) Xn+1 = rxn(1 - xn), (b) Xn+1 = x²(1 − xn), (c) Xn+1 = 1/(2 + xn), - (d) Xn+1 = Xn In x², x = (1 + √5)/2 x = √2-1 x=e¹/² Sketch the functions f(x) given in this problem. Use the cobwebbing method to sketch the approximate behavior of solutions to the equations from some initial starting value of xo.
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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Question
C and D only
Transcribed Image Text:wnloaded 07/14/20 to 152.
2. Determine when the following steady states are stable:
(a) Xn+1 = rxn(1 - xn),
x = 0
(b)
Xn+1 = x²(1 − xn),
(c)
Xn+1 =
(d)
1/(2 + xn),
Xn+1=Xn ln x²,
x = (1 + √5)/2
x= √2-1
x = ¹/2
Sketch the functions f(x) given in this problem. Use the cobwebbing method to
sketch the approximate behavior of solutions to the equations from some initial
starting value of xo.
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