This course is designed to expose students to ordinary differential equations and its applications.
Topics to cover include: First order differential equations; Applications to integral curves and orthogonal trajectories; Linear differential equations of the first order with constant coefficients; Linear differential equations of order n with coefficients continuous on some interval, I; Existence and Uniqueness theorem for linear equations of order n; Wronskian matrix of n independent solutions of linear equations; Cauchy-Euler equations; method of undetermined coefficients and method of variation of parameters; Series solution of second order equations; Boundary value problems and Eigen value problems.
