Introduction to Differential Equations, Linear Differential Equations, Simultaneous Differential Equations, Differential Equations of other Types, Applications of Differential Equations to Engineering Problems, Series solutions and special Functions, Legendre Polynomials, Bessel's Functions, The Laplace Transform, The Inverse Laplace Transform, Application of Laplace Transform, Fourier SEries, Introduction to Partial Differential Equations, Linear Partial Differential Equations with Constant Coefficients, Classification of Linear Partial Differential Equations of Second Order, Application o fPartial Diferential Equations.