Problem 1. Compute the critical points and determine the null-clines and vector field of the given system. Can you conclude anything about the critical point's stability? (a) (b) (c) dr dt dt = 3r-1²-2ry 2y-y²-ry = r²-y = 1-2²-y² 2r-1²-ry =xy-y

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Problem 1. Compute the critical points and determine the null-clines and vector field
of the given system. Can you conclude anything about the critical point's stability?
(a)
(b)
(c)
dx
dt
dr
dr
dt
=
= 2y-y² - xy
=
=
3x - x² - 2xy
=
x²-y
1-x² - y²
21-1²-ry
= xy-y
Transcribed Image Text:Problem 1. Compute the critical points and determine the null-clines and vector field of the given system. Can you conclude anything about the critical point's stability? (a) (b) (c) dx dt dr dr dt = = 2y-y² - xy = = 3x - x² - 2xy = x²-y 1-x² - y² 21-1²-ry = xy-y
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