We have seen numerous techniques for working with an IVP which
consists of a single 1st-order ODE and one initial condition.
In this topic, we will look at how we can use the same techniques
for solving a system of *n* 1st-order ODEs with *n* initial
values.

# Background

Useful background for this topic includes:

- 4. Linear Algebra
- 14.1 Euler's Method

# References

- Bradie, Section 7.8, Systems of Equations and Higher-Order Equations, p.623.
- Mathews, Section 9.7, Systems of Differential Equations, p.518.

Copyright ©2006 by Douglas Wilhelm Harder. All rights reserved.