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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Determine all equilibrium solutions and classify as stable, semi-stable, or unstable.
-=(x + 2)(x - 2)²
dx
dt
x=2 Semi-stable, x=-2 Stable
x=2 Semi-Stable, x=-2 Unstable
C.
x = 2 Unstable,
x = -2
x = ± 2 Stable
d. None Unstable,
x=2
e.
Unstable,
x = -2 Semi - Stable
a.
b.
O
a
OI
O C
Od
O e
Semi-stable
Transcribed Image Text:Determine all equilibrium solutions and classify as stable, semi-stable, or unstable. -=(x + 2)(x - 2)² dx dt x=2 Semi-stable, x=-2 Stable x=2 Semi-Stable, x=-2 Unstable C. x = 2 Unstable, x = -2 x = ± 2 Stable d. None Unstable, x=2 e. Unstable, x = -2 Semi - Stable a. b. O a OI O C Od O e Semi-stable
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