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 = a sin (a) ə əx f 8 x (t) = 3 x₁ (t)-2x2 (t) (t) = 1 x₁ (t) + 1x2 (t) α Ω b) Find the eigenvalues of A. List them separated by semicolons. Eigenvalues: (x₁ (t) x₂ (t) and ALI P
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 = a sin (a) ə əx f 8 x (t) = 3 x₁ (t)-2x2 (t) (t) = 1 x₁ (t) + 1x2 (t) α Ω b) Find the eigenvalues of A. List them separated by semicolons. Eigenvalues: (x₁ (t) x₂ (t) and ALI P
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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