you have been given the following following autonomous first order differential equation. 2 dy = (y-2) ² (y + 8) dx y=2 and ឌ =-8 The critical points are Classify these critical points (in the given order) as asymptatically stable, custable, or semi-stable. choose your given below. answer from the options @ asymptotically stable stable ustable and semi-stable. ustable and asymptotically stable. semi-stable and unstable E asymptatically stabbe and unstable sami-stable and asymptotically stable G semi-stable and semi-stable H asymptotically and semi-stable and asymptotically

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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you
have been given the following
following autonomous
first order differential equation.
2
dy = (y-2) ² (y + 8)
dx
y=2
The critical points are
Classify these critical points (in the given
order) as asymptatically stable,
and y =-8
custable,
or semi-stable.
choose
your
given below.
answer
from the options
@ asymptotically stable
stable
ustable and semi-stable.
ustable and asymptotically stable.
semi-stable and unstable
E asymptatically stabbe and unstable
sami-stable and asymptotically stable
G semi-stable and semi-stable
and asymptotically
H asymptotically and semi-stable
ustable and unstable.
Transcribed Image Text:you have been given the following following autonomous first order differential equation. 2 dy = (y-2) ² (y + 8) dx y=2 The critical points are Classify these critical points (in the given order) as asymptatically stable, and y =-8 custable, or semi-stable. choose your given below. answer from the options @ asymptotically stable stable ustable and semi-stable. ustable and asymptotically stable. semi-stable and unstable E asymptatically stabbe and unstable sami-stable and asymptotically stable G semi-stable and semi-stable and asymptotically H asymptotically and semi-stable ustable and unstable.
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