MTL102: Differential Equations

3 Credits (3-0-0)

Overlaps with: MTL260

Systems of differential equations, Existence and uniqueness theorems for initial value problems of semilinear and nonlinear ODEs, continuous dependence and well-posed ness; Comparison theorems of Sturms, Sturm-Liouville eigenvalue problems; Phase-plane analysis, Linear and Non-linear stability, Liapunov functions and applications;First order Partial differential equations, Method of characteristics, local and global solutions, envelop of solutions, complete and general solutions; Second order equations: Heat and Wave equation, fundamental solutions, method of eigenfunctions, Duhamel’s principle. Maximum priciples for Heat and Laplace equation,Greens functions.