x' = y = y 4 x +. 1 2 2 xy xy
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Consider the two-dimensional autonomous system
Find these components.
(a) The critical points of the system above have the form
[8],
0
x1 =
Y1 =
M
M
x' =
X0
1
y' = y -
=
4
1
x + xy
2
1
-
2
xy
X1
=
x1
Y1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0695e04c-6177-4dae-ae8e-62e62853c8ae%2F1722ff08-4b30-408b-82fe-fbe2803e0358%2Fzuuytli_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the two-dimensional autonomous system
Find these components.
(a) The critical points of the system above have the form
[8],
0
x1 =
Y1 =
M
M
x' =
X0
1
y' = y -
=
4
1
x + xy
2
1
-
2
xy
X1
=
x1
Y1
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