First order differential equations, separable and homogeneous types; Pfaffian forms in two variables, Bernoulli and Riccati types; existence anduniqueness theorem for the initial-value problem.



 Higher order equations, theory of the Wronskian and linear independence  of solutions of higher order linear equations, the Euler equation.

 First order linear systems, matrix formulation of first order systems for  both normal and defective matrices, funamental matrices, matrix-valued  functions and computation of the exponential of a matrix.

 The Laplace transform, theory of the Laplace transform and its use in the  solution of differential equations.