Solving Systems of Differential Equations with Eigenvalues and Eigenvectors

Explore the powerful technique of solving systems of differential equations using eigenvalues and eigenvectors in this 22-minute video tutorial. Delve into the fundamentals of linear systems theory, with applications in stability theory and control. Begin with an overview and recap of eigenvalues and eigenvectors, then learn how to compute them in both MATLAB and Python. Progress through setting up the problem, deriving the full solution, and gaining an intuitive interpretation of the results. Follow along with code examples provided in Python and MATLAB to enhance your understanding of this crucial concept in applied mathematics and engineering.

Overview and Recap of Eigenvalues and Eigenvectors
Eigenvalues in Matlab
Eigenvalues in Python
Setting up the Problem
The Full Solution
Intuitive Interpretation