Consider the system of non-linear differential equations dx 2² – 2x – y? + 1, dt dy = TY – 3x. dt Select the option that gives a complete list of equilibrium points for this system. Select one: О (-2,3), (0, —1), (0, 1), (4, 3) О (3, -2), (3,4) О (3, —2), (-1,0), (1,0), (3,4) (3, –1), (3, 1), (–2, 0), (4,0) о (), -1), (0, 1)

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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Consider the system of non-linear differential equations
dx
2² – 2x – y? + 1,
dt
dy
= zy – 3x.
dt
Select the option that gives a complete list of equilibrium points for this system.
Select one:
О (-2,3), (0, —1), (0, 1), (4, 3)
О (3, -2), (3,4)
О (3, —2), (-1,0), (1,0), (3,4)
(3, –1), (3, 1), (–2, 0), (4,0)
о (), -1), (0, 1)
Transcribed Image Text:Consider the system of non-linear differential equations dx 2² – 2x – y? + 1, dt dy = zy – 3x. dt Select the option that gives a complete list of equilibrium points for this system. Select one: О (-2,3), (0, —1), (0, 1), (4, 3) О (3, -2), (3,4) О (3, —2), (-1,0), (1,0), (3,4) (3, –1), (3, 1), (–2, 0), (4,0) о (), -1), (0, 1)
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