Consider the system of linear differential equations We want to determine the stability of the origin. a) This system can be written in the form X' = AX, where X(t) = A = sin (a) ə Əx ∞ (t) = 4 x₁ (t)-1/2 #₂ (t) h, (t)=0a1(t)+2 (t) a Ω and b) Find the eigenvalues of A. List them between square brackets and separated by commas if there are more than Eigenvalues:
Consider the system of linear differential equations We want to determine the stability of the origin. a) This system can be written in the form X' = AX, where X(t) = A = sin (a) ə Əx ∞ (t) = 4 x₁ (t)-1/2 #₂ (t) h, (t)=0a1(t)+2 (t) a Ω and b) Find the eigenvalues of A. List them between square brackets and separated by commas if there are more than Eigenvalues:
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 69EQ: Let x=x(t) be a twice-differentiable function and consider the second order differential equation...
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