x ý = Y, (1 – x² − y²)y — x. - -

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Determine all equilibrium of (2), Determine the types of all equilibrium points of (2), especially their stability , please if able explain it in detail, I am especially struggling with determining the types of the equilibrium points, How many types are there? How do you know which type the equilibrium point is?

=
{ =
x
ý
=
y,
(1 – 2 – y2)y -
-
0.
(2)
Transcribed Image Text:= { = x ý = y, (1 – 2 – y2)y - - 0. (2)
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