onsider the system of non-linear differential quations dx dt dy dt x² - y² + 2y - 1, = xy - 3x. elect the option that gives a complete list of quilibrium points for this system. elect one: ○ (−2,3), (0,1), (2,3) O (3,-2), (1,0), (3, 2) O (0,1) ○ (3,-2), (3,2) 2 (3.1). (-2.0), (2.0)

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
Consider the system of non-linear differential
equations
dx
dt
dy
dt
x² - y² + 2y — 1,
= xy - 3x.
Select the option that gives a complete list of
equilibrium points for this system.
Select one:
O (-2,3), (0, 1), (2,3)
O (3,-2), (1,0), (3,2)
○ (0,1)
O (3,-2), (3,2)
○ (3,1), (−2,0), (2,0)
Transcribed Image Text:Consider the system of non-linear differential equations dx dt dy dt x² - y² + 2y — 1, = xy - 3x. Select the option that gives a complete list of equilibrium points for this system. Select one: O (-2,3), (0, 1), (2,3) O (3,-2), (1,0), (3,2) ○ (0,1) O (3,-2), (3,2) ○ (3,1), (−2,0), (2,0)
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