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This course works through examples of second-order linear ordinary differential equations, including characteristic polynomials, initial conditions, matrix systems, eigenvalues, and stability. It also demonstrates plotting and numerical integration in MATLAB.
Syllabus
First Example
Writing as a Matrix System of Equations
Matlab Code Example: Plotting and Integrating the Solution
Matlab Code Example: Plotting and Integrating the Solution
Second Example Unstable System
Third Example
Taught by
Steve Brunton