dx a11 a12 Consider a differential equation of the form = Ax(t) where A = dt The eigenvalues of A are a21 a22 real, distinct, and nonzero. Analyze the stability of the equilibrium (0,0), and classify the equilibrium according to whether it is a sink, a source, or a saddle point. - 5 4 A = - 10 9 ..... The eigenvalues so the equilibrium is

dx a11 a12 Consider a differential equation of the form = Ax(t) where A = dt The eigenvalues of A are a21 a22 real, distinct, and nonzero. Analyze the stability of the equilibrium (0,0), and classify the equilibrium according to whether it is a sink, a source, or a saddle point. - 5 4 A = - 10 9 ..... The eigenvalues so the equilibrium is

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

The eigenvalues (are both negatives, are both positive, havebe opposite signs ) so the equilibrium is (a stable sink, an unstable sink, an unstable saddle point)