- 400x [x²= x³ + xy- y=y²x²y-158y A) Find all the equilibia of the system for which x ≥ 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? λ = C) Based on the results of part B, we can classify that equilibrium as a Select an answer Select an answer spiral sink saddle sink spiral source source Submit Question

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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- 400x
[x'= x³ + xy-
y=y²x²y-158y
A) Find all the equilibia of the system for which x ≥ 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?
λ =
C) Based on the results of part B, we can classify that equilibrium as a Select an answer
Select an answer
spiral sink
saddle
sink
Submit Question
spiral source
source
Transcribed Image Text:- 400x [x'= x³ + xy- y=y²x²y-158y A) Find all the equilibia of the system for which x ≥ 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? λ = C) Based on the results of part B, we can classify that equilibrium as a Select an answer Select an answer spiral sink saddle sink Submit Question spiral source source
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