Ordinary Differential Equations
Introductory course: Includes elementary solution via separation of variables and change of variables, general theory (Peano existence theorem, uniqueness of solutions, maximal solutions, continuity in initial conditions), linear ODE (existence, uniqueness, vector space of solutions, fundamental matrix solution, variation of constants, higher-order, Wronskian, constant coefficients), qualitative theory (stability at fixed points, phase portraits, Lyapunov's theorem, linearization, limit sets).
Course Notes and Supplementary Material (PDF format)
| Type | File (Size) | Date |
|---|
| Course notes |
v1 PDF (1.2M)
| 08/09/23 |
