ġ p p(1 — q²), -q(1 - p²).
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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Question
Sketch the phase picture associated with (3) in the (q, p) plane. Note the equilibrium points and other special lanes.I have the solution, I just dont know how they get there, so please if able explain the steps in detail to get there, I am very new to differential equations, thank you in advance.
the equilibrium points: E0 = (0, 0), E1 = (1, 1), E2 = (1, −1), E3 = (−1, −1), E4 = (−1, 1).
Transcribed Image Text:E₁
E3
12
Eo
4₁
E₁
E₂
13
9
14
Transcribed Image Text:{ 3 =
p
p(1 — q²),
−q(1 — p²).
(3)
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