Differential Equations Examples

Math 243 - Fall 2025

• Examples
• Notes
• Schedule & Syllabus

Graphics

1. Slope fields (Octave, Python, Sage)
2. Direction fields for planar systems (phase planes) (Python, Octave)
3. Direction field for $\mathbf{x}' = A\mathbf{x}$. (Python)

Numerical Methods

1. Euler’s method (Python)
2. Euler’s method for systems (Python)

Linear Algebra

1. Finding (exact) eigenvalues and eigenvectors (Octave, Python)
2. Symbolic matrix exponentials (Python, Octave)
3. Numerical matrix exponentials (Python, Octave)