# Homogeneous System of Three Coupled, First-Order, Linear Differential Equations

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This Demonstration calculates the eigenvalues and eigenvectors of a linear homogeneous system and finds the constant coefficients of the system for a particular solution. The sliders let you vary the initial conditions.

Contributed by: Stephen Wilkerson (March 2011)

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

Open content licensed under CC BY-NC-SA

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This Demonstration comes from [1], Section 6.2, Systems of First Order Equations, Example 3.

Reference:

[1] J. R. Brannan and W. E. Boyce, *Differential Equations with Boundary Value Problems: An Introduction to Modern Methods and Applications*, 2nd ed., New York: John Wiley and Sons, 2010.