dx a11 a12 Consider a differential equation of the form = Ax(t) where A = dt . Analyze the stability of the %3D a21 a22 equilibrium (0,0), and classify the equilibrium. - 1 A = - 2 - 2 ..... The eigenvalues are so the equilibrium is

dx a11 a12 Consider a differential equation of the form = Ax(t) where A = dt . Analyze the stability of the %3D a21 a22 equilibrium (0,0), and classify the equilibrium. - 1 A = - 2 - 2 ..... The eigenvalues are 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 (complex conjugates with a positive real part, real, real negative and distict, real pisitive and distinct, real with opposite signs, complex conjugates with a real part of 0, complex conjugates wth a negative real part) so the quilibrium is (a center, an unstable saddle point, a stable spiral, an unstable spiral, a stable sink, an unstable source)