Mathematics

Differential Equations and Dynamical Systems (2/4)

밤 편지 2025. 2. 9. 08:48

https://www.youtube.com/playlist?list=PLMrJAkhIeNNTYaOnVI3QpH7jgULnAmvPA

https://faculty.washington.edu/sbrunton/me564/


High-Order Ordinary Differential Equations with More Derivatives (from Physics)


Solving General High-Order, Linear Ordinary Differential Equations (ODEs)


Matrix Systems of Differential Equations


★Motivating Eigenvalues and Eigenvectors with Differential Equations


Eigenvalues and Eigenvectors


Solving Systems of Differential Equations with Eigenvalues and Eigenvectors 


2x2 Systems of ODEs: Sources and Sinks


2x2 Systems of ODEs: Saddle Points and Instability


2x2 Systems of ODEs: Imaginary Eigenvalues and Center Fixed Points


Stability and Eigenvalues: What does it mean to be a "stable" eigenvalue?