Consider 6x (1+x²)² 2(x+y) (1+x²)² + 2y ý = Using the function V(x, y) = 12 + y² show that the origin is asymptotically stable and determine a large subset of its basin of attraction. 1+z²

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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Consider
6x
+ 2y
(1+z²)²
2(x+y)
(1+z²)²
+ y? show that the origin is asymptotically stable and
Using the function V(x, y)
determine a large subset of its basin of attraction.
=
1+x?
Transcribed Image Text:Consider 6x + 2y (1+z²)² 2(x+y) (1+z²)² + y? show that the origin is asymptotically stable and Using the function V(x, y) determine a large subset of its basin of attraction. = 1+x?
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