Find the critical point set for the given system. dx | dt dy dt = 9-y² = 3x + 2y ... Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The set of critical points is { (-2,3), (2, -3)}. (Type an ordered pair. Use a comma to separate answers as needed.) OB. There are no critical points.
Find the critical point set for the given system. dx | dt dy dt = 9-y² = 3x + 2y ... Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The set of critical points is { (-2,3), (2, -3)}. (Type an ordered pair. Use a comma to separate answers as needed.) OB. There are no critical points.
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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I understand the first part, however the second part of this question is confusing me on which graph to choose, how to decipher exactly which one it is.

Transcribed Image Text:Find the critical point set for the given system.
dx
dt
2
= 9-y²
= 3x + 2y
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The set of critical points is { (-2,3), (2, -3) }.
(Type an ordered pair. Use a comma to separate answers as needed.)
OB. There are no critical points.
Choose the phase portrait which matches the system.
-5-4-3 -2 -1 0 1 2 3 4 -5-4-3-2-1 0 1 2 3 4 -5 -4 -3 -2 -1 0 1 2 3
X
X
X
HOX
4 -5-4-3 -2 -1 0 1 2 3 4
X
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