For each of the systems in Exercises 1-8, perform each of the following tasks. (i) Sketch the nullclines for each equation. Use a distinctive marking for each nullcline so they can be distinguished. (ii) Use analysis to find the equilibrium points for the sys- tem. Label each equilibrium point on your sketch with its coordinates. (iii) Use the Jacobian to classify each equilibrium point (spiral source, nodal sink, etc.).
For each of the systems in Exercises 1-8, perform each of the following tasks. (i) Sketch the nullclines for each equation. Use a distinctive marking for each nullcline so they can be distinguished. (ii) Use analysis to find the equilibrium points for the sys- tem. Label each equilibrium point on your sketch with its coordinates. (iii) Use the Jacobian to classify each equilibrium point (spiral source, nodal sink, etc.).
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.5: Iterative Methods For Solving Linear Systems
Problem 25EQ
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