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1. Consider the recursive relation xt+1= 1/5xt2 (a) Find all equilibrium points. Answer: x= and x= (b) The smaller equilibrium is stable or unstable? (c) The larger equilibrium is stable or unstable?

1. Consider the recursive relation xt+1= 1/5xt2 (a) Find all equilibrium points. Answer: x= and x= (b) The smaller equilibrium is stable or unstable? (c) The larger equilibrium is stable or unstable?

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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1. Consider the recursive relation xt+1= 1/5xt2 (a) Find all equilibrium points. Answer: x= and x= (b) The smaller equilibrium is stable or unstable? (c) The larger equilibrium is stable or unstable?
Transcribed Image Text:1. Consider the recursive relation xt+1= 1/5xt2 (a) Find all equilibrium points. Answer: x= and x= (b) The smaller equilibrium is stable or unstable? (c) The larger equilibrium is stable or unstable?
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