Summary of ODE's (from a course that I taught at UBC, Vancouer): Click here
Second order equations (Mechanical vibrations): Click here
More theory on Pendulum - damped cases Damped Simple case , Damped General case
Mathematica and Matlab codes: All .nb extensions are Mathematica files and .m extensions are Matlab files
Regular perturbation for IVP: Click here
Singular perturbation (boundary layer problem): Click here
Van der pol oscillator (only for setting up the perturbation problem): Click here
Poincare section for Duffing oscillator: Click here
Solving the van der pol oscillator (On Matlab): Click here
Double pendulum (sensitivity to initial conditions - On Matlab): Click here
Logistic equation: Click here
Koch curve: Click here