Determine all equilibrium solutions and classify as stable, semi- stable, or unstable. dx dt a. b. C. d. e. -=(x + 2)(x - 2)² x = 2 Semi-stable, x=2 Semi - Stable, x=2 Unstable, None Unstable, x=2 Unstable, x=-2 Stable x=-2 Unstable x = -2 X = ± 2 Stable x = -2 Semi - Stable Semi-stable

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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Question
Determine all equilibrium solutions and classify as stable, semi-
stable, or unstable.
dx
dt
a.
b.
C.
d.
e.
-=(x + 2)(x - 2)²
x = 2 Semi-stable,
x=2 Semi - Stable,
x=2 Unstable,
None Unstable,
x=2 Unstable,
x=-2 Stable
x=-2 Unstable
x = -2
X = ± 2 Stable
x = -2 Semi - Stable
Semi-stable
Transcribed Image Text:Determine all equilibrium solutions and classify as stable, semi- stable, or unstable. dx dt a. b. C. d. e. -=(x + 2)(x - 2)² x = 2 Semi-stable, x=2 Semi - Stable, x=2 Unstable, None Unstable, x=2 Unstable, x=-2 Stable x=-2 Unstable x = -2 X = ± 2 Stable x = -2 Semi - Stable Semi-stable
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