MTH421A - Ordinary Differential Equations

Introduction to ODE; Existence and uniqueness of solution; Continuity and dierentiability of solution w.r.t. initial condition and parameters; General theory of linear deferential equations; Methods of solving non homogeneous linear equations; Cauchy Euler equation; Linear equations with periodic co efficient; System of linear deferential equations; Stability theory for system of linear deferential equations; Strum Liouville boundary value problems, Oscillation theory; Green's function.