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 = ab sin (a) ə əx x₁ (t) = 2 x₁ (t) + 4x2 (t) x2₂ (t) = 0 x₁ (t) — 3 x₂ (t) f 8 α Ω b) Find the eigenvalues of A. List them separated by semicolons. Eigenvalues: (21(0)) and Pi

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 = ab sin (a) ə əx x₁ (t) = 2 x₁ (t) + 4x2 (t) x2₂ (t) = 0 x₁ (t) — 3 x₂ (t) f 8 α Ω b) Find the eigenvalues of A. List them separated by semicolons. Eigenvalues: (21(0)) and Pi

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 70EQ

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