For the system dx dt - It is Choose one ▼ 4 -26 -6 1 ) x + ( =²), determine the critical point x = xº, and then classify its type and examine its stability by making the transformation x = x + u. The critical point is (?, ?)

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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For the system
) x + ( = ²)
determine the critical point x = xº, and then classify its type and
examine its stability by making the transformation x = x
=x⁰+ u.
The critical point is (?, ?)
It is Choose one
dx
dt
4 -26
1 -6
Transcribed Image Text:For the system ) x + ( = ²) determine the critical point x = xº, and then classify its type and examine its stability by making the transformation x = x =x⁰+ u. The critical point is (?, ?) It is Choose one dx dt 4 -26 1 -6
For the system
The c
4 -26
- (12)x+ (1)
dt
-6
determine the critical point x = xº, and then classify its type and
examine its stability by making the transformation x = x + u.
It is
dx
Choose one
an asymptotically stable node
an unstable node
an unstable spiral
a stable spiral
a saddle point
Transcribed Image Text:For the system The c 4 -26 - (12)x+ (1) dt -6 determine the critical point x = xº, and then classify its type and examine its stability by making the transformation x = x + u. It is dx Choose one an asymptotically stable node an unstable node an unstable spiral a stable spiral a saddle point
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