Consider the two-dimensional autonomous system Find these components. x1 = -1/2 (a) The critical points of the system above have the form Y1 = 1/2 M M x' = x + xy 2 AP 3 1 Y xy 2 2 y' = Х0 = --0---6 = X1 = = x1

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Consider the two-dimensional autonomous system
Find these components.
x1 = -1/2
Y1 =
1/2
M
(a) The critical points of the system above have the form
[],
M
xo
x'
y'
=
=
=
32
2
1
2
Y
x + xy
X1
1
-
2
=
xy
[*].
Transcribed Image Text:Consider the two-dimensional autonomous system Find these components. x1 = -1/2 Y1 = 1/2 M (a) The critical points of the system above have the form [], M xo x' y' = = = 32 2 1 2 Y x + xy X1 1 - 2 = xy [*].
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