b) Consider again the ODE introduced in point (a) and describing the motion of the pendulum ml0 = -mg sin 0 – y0. with 0 E(-x/2, /2). Put m = 1 and = 1. Convert this ODE into a system of two first-order ODES • Compute all equilibria of this system of ODES. Linearise this system of ODE around each equilibrium. Find the eigenvalues of the linearised system around each equilibrium
b) Consider again the ODE introduced in point (a) and describing the motion of the pendulum ml0 = -mg sin 0 – y0. with 0 E(-x/2, /2). Put m = 1 and = 1. Convert this ODE into a system of two first-order ODES • Compute all equilibria of this system of ODES. Linearise this system of ODE around each equilibrium. Find the eigenvalues of the linearised system around each equilibrium
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 31E
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