[x'= x³ + xy - 196x y=y²-x²y - 98y A) Find all the equilibia of the system for which x ≥ 0 and y ≥0 (0,0),(0,98), (14,84) 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 = 2361.027.213.973 X C) Based on the results of part B, we can classify that equilibrium as a source
[x'= x³ + xy - 196x y=y²-x²y - 98y A) Find all the equilibia of the system for which x ≥ 0 and y ≥0 (0,0),(0,98), (14,84) 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 = 2361.027.213.973 X C) Based on the results of part B, we can classify that equilibrium as a source
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 70EQ
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