# Homogeneous Linear System of Coupled Differential Equations

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This Demonstration shows the solution paths, critical point, eigenvalues, and eigenvectors for the following system of homogeneous first-order coupled equations:

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Contributed by: Stephen Wilkerson (March 2011)

(United States Military Academy West Point, Department of Mathematics)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

This example comes from the discussions given in Chapter 7 of [1] on critical points using a phase plot.

Reference

[1] J. R. Brannan and W. E. Boyce, *Differential Equations with Boundary Value Problems: An Introduction to Modern Methods and Applications*, New York: John Wiley and Sons, 2010.

## Permanent Citation

"Homogeneous Linear System of Coupled Differential Equations"

http://demonstrations.wolfram.com/HomogeneousLinearSystemOfCoupledDifferentialEquations/

Wolfram Demonstrations Project

Published: March 7 2011