We have worked with 1st-order initial-value problems.
In this topic, we discuss how we can convert an *n*th-order
initial-value problem (an *n*th-order differential equation
and *n* initial values) into a system of *n* 1st-order
initial-value problems.

# Background

Useful background for this topic includes:

# References

- Bradie, Section 7.8, Systems of Equations and Higher-Order Equations, p.628.
- Mathews, Section 9.7, Systems of Differential Equations, p.521.

Copyright ©2005 by Douglas Wilhelm Harder. All rights reserved.