Trajectories of Linear Systems

Lang Moore and David Smith, Duke University

with the assistance of
Jer-Chin Chuang, Furman University
John Michel, Marietta College

Purpose: To investigate the trajectories in the phase plane of 2x2 homogeneous linear systems of first-order differential equations of the form X' = AX.

Prerequisites: The Matrix Operations module and an understanding of the meaning of eigenvalues and eigenvectors of the matrix A.