First-Order Linear ODEs
Summary
This lecture evolves around the fact that if a solution for the first-order linear ODE $$ \frac{\mathrm{d} x}{\mathrm{d} t}+p(t) x=f(t) $$ exists, we can always find it. General solution, particular solutions, and using integrating factors are covered.
Full Set of Lecture Notes
The notes for this lecture are available here.