# Using Eigenvalues to Solve a First-Order System of Two Coupled Differential Equations

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Consider the coupled system of differential 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

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## Details

This is the complex eigenvalue example from [1], Section 3.4, Modeling with First Order Equations.

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.

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