# 5: Systems of Differential Equations

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- 5.1: Review of Linear Algebra
- In this discussion, we expect some familiarity with matrices. We will rely heavily on calculators and computers to work out the problems.

- 5.2: Homogeneous Systems of Differential Equations
- In this discussion we will investigate how to solve certain homogeneous systems of linear differential equations. We will also look at a sketch of the solutions.

- 5.3: Complex Eigenvalues
- In this discussion we will consider the case where eigenstates may be complex.

- 5.4: Theory of Systems of Differential Equations
- The theory of systems of linear differential equations resembles the theory of higher order differential equations. This discussion will adopt the following notation.

### Contributors

- Larry Green (Lake Tahoe Community College)