Find the critical point(s) of the following systems, and determine whether it is asymptotically stable, stable or unstable. 00 -2 1 1. 1 -2 -2 2. -1 1 -2 -8- 3. 34 10

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the critical point(s) of the following systems, and determine whether it is asymptotically stable,
stable or unstable.
00
·() (30
00
-2
1
1.
1
-2
-2
2.
-1
1
-8-
3.
1
10
4
-5
4.
-4
6
I' =r-y
5.
y = x2 – y
r' = ry – 2
6.
y = r – 2y
Transcribed Image Text:Find the critical point(s) of the following systems, and determine whether it is asymptotically stable, stable or unstable. 00 ·() (30 00 -2 1 1. 1 -2 -2 2. -1 1 -8- 3. 1 10 4 -5 4. -4 6 I' =r-y 5. y = x2 – y r' = ry – 2 6. y = r – 2y
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