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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.

Spiral trajectories

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Last Modified: November 11, 2000