Determine all equilibrium solutions and classify as stable, semi-stable, or unstable. dx =(x²-4)² dt x= ±2 Semi-stable, None Stable or Unstable x=2 Semi-Stable, x=-2 Unstable C. x=2 Unstable, d. None Unstable, e. x=2 Unstable, a. b. x = -2 Semi-stable x = ±2 Stable x = -2 Stable
Determine all equilibrium solutions and classify as stable, semi-stable, or unstable. dx =(x²-4)² dt x= ±2 Semi-stable, None Stable or Unstable x=2 Semi-Stable, x=-2 Unstable C. x=2 Unstable, d. None Unstable, e. x=2 Unstable, a. b. x = -2 Semi-stable x = ±2 Stable x = -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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3.as soon as possible please
![**Determine all equilibrium solutions and classify as stable, semi-stable, or unstable.**
\[\frac{dx}{dt} = (x^2 - 4)^2\]
a. \(x = \pm 2\) Semi-stable, None Stable or Unstable
b. \(x = 2\) Semi-Stable, \(x = -2\) Unstable
c. \(x = 2\) Unstable, \(x = -2\) Semi-stable
d. None Unstable, \(x = \pm 2\) Stable
e. \(x = 2\) Unstable, \(x = -2\) Stable
**Options:**
- a
- b
- c
- d
- e](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa72e8965-bd79-4464-a740-a72095a0be2c%2F3a203727-d891-407e-9ccd-29f0daa3b6ca%2F2pqrygm_processed.png&w=3840&q=75)
Transcribed Image Text:**Determine all equilibrium solutions and classify as stable, semi-stable, or unstable.**
\[\frac{dx}{dt} = (x^2 - 4)^2\]
a. \(x = \pm 2\) Semi-stable, None Stable or Unstable
b. \(x = 2\) Semi-Stable, \(x = -2\) Unstable
c. \(x = 2\) Unstable, \(x = -2\) Semi-stable
d. None Unstable, \(x = \pm 2\) Stable
e. \(x = 2\) Unstable, \(x = -2\) Stable
**Options:**
- a
- b
- c
- d
- e
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