Differential Equations



This is a file on Differential Equations, covering just ordinary differential equations. It discusses the standard solution methods as well as more advanced topics on how to solve non-linear differential equations, including perturbation theory, multiple-scale analysis, etc. It also has a lot of notes on Lie group methods. I put these together in grad school while actually trying to solve a bunch of differential equations (who knew you'd actually need that stuff?), and while unexpectedly tutoring someone in the same.