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Consider the discrete difference equation X1+1 = 13x,e¬X; Find the set of all equilibrium (or fixed points) for this difference equation. This means you should enter something like "{5,ln(5)}" if x = 5 and x = In(5) are all of the fixed points. Find the derivative of the updating function f'(x) = || Use the stability criterion to decide if the equilibria 2 for all are stable or unstable. Note that INCX)

Consider the discrete difference equation X1+1 = 13x,e¬X; Find the set of all equilibrium (or fixed points) for this difference equation. This means you should enter something like "{5,ln(5)}" if x = 5 and x = In(5) are all of the fixed points. Find the derivative of the updating function f'(x) = || Use the stability criterion to decide if the equilibria 2 for all are stable or unstable. Note that INCX)

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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Consider the discrete difference equation X1+1 = 13x,e-*: Find the set of all equilibrium (or fixed points) for this difference equation. This means you should enter something like "{5,In(5)}" if x = 5 and x = In(5) are all of the fixed points. Find the derivative of the updating function f'(x) = Use the stability criterion to decide if the equilibria 2 for all are stable or unstable. Note that INCX)
Transcribed Image Text:Consider the discrete difference equation X1+1 = 13x,e-*: Find the set of all equilibrium (or fixed points) for this difference equation. This means you should enter something like "{5,In(5)}" if x = 5 and x = In(5) are all of the fixed points. Find the derivative of the updating function f'(x) = Use the stability criterion to decide if the equilibria 2 for all are stable or unstable. Note that INCX)
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