Determine all equilibrium solutions and classify as stable, semi-stable, or unstable. dx = x(x²-4) dt a. b. C. d. e. x = ± 2 Unstable, x=0 Stable x=2 Unstable, x=0, x=-2 Stable x = -2 Unstable, x=0, x=2 Stable x=0, 2 Unstable, x=-2 Stable x = 0, 2 Unstable, x=0, 2 Stable
Determine all equilibrium solutions and classify as stable, semi-stable, or unstable. dx = x(x²-4) dt a. b. C. d. e. x = ± 2 Unstable, x=0 Stable x=2 Unstable, x=0, x=-2 Stable x = -2 Unstable, x=0, x=2 Stable x=0, 2 Unstable, x=-2 Stable x = 0, 2 Unstable, x=0, 2 Stable
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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Transcribed Image Text:Determine all equilibrium solutions and classify as stable, semi-stable, or unstable.
dx
= x(x² - 4)
dt
a.
b.
C.
d.
e.
x = ± 2 Unstable, x=0 Stable
x=2 Unstable,
x=0, x=-2 Stable
x = -2 Unstable, x=0, x=2 Stable
x=0, 2 Unstable, x=-2 Stable
x = 0, 2 Unstable, x=0, 2 Stable
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