1. Find equilibria, find the potential, classify the equilibria using the potential. Sketch the graph of the phase plane using the potential: a. b. C. d² x dt² d² x dt² d² x dt² - (x - 1)(1-x²) = − x² (1-x) = -0.5 sin x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. Find equilibria, find the potential, classify the equilibria using
the potential. Sketch the graph of the phase plane using the
potential:
a.
b.
C.
d² x
dt²
d² x
dt²
d² x
dt²
-—
(x − 1)(1 − x²)
= − x² (1
− x² (1 − x)
—
-0.5 sin x
Transcribed Image Text:1. Find equilibria, find the potential, classify the equilibria using the potential. Sketch the graph of the phase plane using the potential: a. b. C. d² x dt² d² x dt² d² x dt² -— (x − 1)(1 − x²) = − x² (1 − x² (1 − x) — -0.5 sin x
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