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Exercise 5. (Linear Stability) Find fixed points and calculate the stability for the following equations. If the linear stability fails because f'(x*) = 0 use a graphical argument to decide the stability. i = x(1- x) • i = tan x i = 1-e-a

Exercise 5. (Linear Stability) Find fixed points and calculate the stability for the following equations. If the linear stability fails because f'(x*) = 0 use a graphical argument to decide the stability. i = x(1- x) • i = tan x i = 1-e-a

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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Exercise 5. (Linear Stability) Find fixed points and calculate the stability for the following equations. If the linear stability fails because f'(x*) =0 use a graphical argument to decide the stability. %3D • i = x(1 – x) • i = tan x • i = 1- e-a2 • i = ax - x3 with a either positive, negative or zero (discuss all 3 cases) • i = x(1- x)(2 - x) • i = x° (6 – x) %3D • i = In x %3D
Transcribed Image Text:Exercise 5. (Linear Stability) Find fixed points and calculate the stability for the following equations. If the linear stability fails because f'(x*) =0 use a graphical argument to decide the stability. %3D • i = x(1 – x) • i = tan x • i = 1- e-a2 • i = ax - x3 with a either positive, negative or zero (discuss all 3 cases) • i = x(1- x)(2 - x) • i = x° (6 – x) %3D • i = In x %3D
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