Differential Eqns. F22-16 -- Elimination method for systems of equations

The one where we learn how to use the elimination method (a modification of Cramer's rule) to help reduce linear systems of differential equations down to a single higher order equation.

0:00 Short walk-through with a substitution example
3:30 Comments about first order systems
7:41 Notation using "D"
10:11 Example using D notation (why we bump)
18:16 Cramer's rule = Elimination method
27:45 Example of finding a second-order ODE
32:31 Example of general solution to a second-order ODE