dx a11 a12 Consider a differential equation of the form - = Ax(t) where A = The eigenvalues of A are real, distinct, and nonzero. Analyze the stability of the equilibrium (0,0), and classify the equilibrium according to whether it dt a21 a22 is a sink, a source, or a saddle point. - 4 - 1 A = 21 6 The eigenvalues are so the equilibrium is

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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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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dx
a11
a12
= Ax(t) where A =
dt
The eigenvalues of A are real, distinct, and nonzero. Analyze the stability of the equilibrium (0,0), and classify the equilibrium according to whether it
-
Consider a differential equation of the form
a21 a22
is a sink, a source, or a saddle point.
- 4
- 1
A =
21
The eigenvalues are
so the equilibrium is
Transcribed Image Text:dx a11 a12 = Ax(t) where A = dt The eigenvalues of A are real, distinct, and nonzero. Analyze the stability of the equilibrium (0,0), and classify the equilibrium according to whether it - Consider a differential equation of the form a21 a22 is a sink, a source, or a saddle point. - 4 - 1 A = 21 The eigenvalues are so the equilibrium is
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