[z=z³+zy-441x ly-y-z²y-103y A) Find all the equilibia of the system for which z 20 and y ≥ 0 Consider the system B) There is one equilibrium where z>0 and y> 0. Linearize the system at that equilibrium. What are the eigenvalues of that linearization? A= C) Based on the results of part B, we can classify that equilibrium as ✓ Select an answer sink Submit Question spiral source saddle spiral sink source

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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[x²= x³ + xy-441x
y-y²-x²y-103y
A) Find all the equilibia of the system for which ≥ 0 and y ≥ 0
Consider the system
B) There is one equilibrium where x > 0 and y> 0. Linearize the system at that equilibrium. What are
the eigenvalues of that linearization?
A=
C) Based on the results of part B, we can classify that equilibrium as a ✔ Select an answer
sink
Submit Question
spiral source
saddle
spiral sink
source
Transcribed Image Text:[x²= x³ + xy-441x y-y²-x²y-103y A) Find all the equilibia of the system for which ≥ 0 and y ≥ 0 Consider the system B) There is one equilibrium where x > 0 and y> 0. Linearize the system at that equilibrium. What are the eigenvalues of that linearization? A= C) Based on the results of part B, we can classify that equilibrium as a ✔ Select an answer sink Submit Question spiral source saddle spiral sink source
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