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29.1 What are the equilibrium points? 29.2 Which equilibrium solutions are stable, unstable, or semi-stable? 29.3 Write a definition for a stable, unstable, and semi-stable equilibrium point.

29.1 What are the equilibrium points? 29.2 Which equilibrium solutions are stable, unstable, or semi-stable? 29.3 Write a definition for a stable, unstable, and semi-stable equilibrium point.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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29 Consider the differential equation y'=f(y) where f(y) is given by the following graph: -4 -3 -2 (a) y(0) = 2.5. (b) y(0)=-1. (c) y(1)=1. 29.5 If y(0) = 2, then y(t) = 29.6 If y(0) = 1, then lim y(t) = t→∞ 29.7 If y(0) = -2, then -2 max y(t) = te[0,00) --2 1 29.1 What are the equilibrium points? 29.2 Which equilibrium solutions are stable, unstable, or semi-stable? 29.3 Write a definition for a stable, unstable, and semi-stable equilibrium point. 29.4 Roughly, sketch a solution satisfying: 2 3
Transcribed Image Text:29 Consider the differential equation y'=f(y) where f(y) is given by the following graph: -4 -3 -2 (a) y(0) = 2.5. (b) y(0)=-1. (c) y(1)=1. 29.5 If y(0) = 2, then y(t) = 29.6 If y(0) = 1, then lim y(t) = t→∞ 29.7 If y(0) = -2, then -2 max y(t) = te[0,00) --2 1 29.1 What are the equilibrium points? 29.2 Which equilibrium solutions are stable, unstable, or semi-stable? 29.3 Write a definition for a stable, unstable, and semi-stable equilibrium point. 29.4 Roughly, sketch a solution satisfying: 2 3
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