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Problem 5: For each system below, find all fixed points and classify the stability. If linear stability analysis fails (i.e. if f'(x) = 0 where à is a fixed point), use a graphical argument to decide stability. (a) x = x(1-x)(2x)

Problem 5: For each system below, find all fixed points and classify the stability. If linear stability analysis fails (i.e. if f'(x) = 0 where à is a fixed point), use a graphical argument to decide stability. (a) x = x(1-x)(2x)

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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Problem 5: For each system below, find all fixed points and classify the stability. If linear stability analysis fails (i.e. if f'(x) = 0 where x is a fixed point), use a graphical argument to decide stability. (a) = x(1x) (2 - x) i (b) * = e sin x -X (c) = 1x14 i (d) * = e cos x Hint: It may help to consider e and cos x as separate functions rather than as one big function.
Transcribed Image Text:Problem 5: For each system below, find all fixed points and classify the stability. If linear stability analysis fails (i.e. if f'(x) = 0 where x is a fixed point), use a graphical argument to decide stability. (a) = x(1x) (2 - x) i (b) * = e sin x -X (c) = 1x14 i (d) * = e cos x Hint: It may help to consider e and cos x as separate functions rather than as one big function.
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