First-order ordinary differential equations. Separable, exact and linear ordinary differential equations. Second-order ordinary differential equations. Homogeneous and non-homogeneous ordinary differential equations. General and particular solution. Euler-Cauchy equation. Higher-order linear ordinary differential equations. Linear systems of equations and their solution. Determinants, eigenvalues and eigenvectors. Systems of differential equations. Solving homogeneous and non-homogeneous system of differential equations. Series solutions of differential equations. Orthogonal functions. Laplace transform and its inverse. Solving initial value problem using Laplace transform. Properties of Laplace transform. Solving system of ordinary differential equations using Laplace transform.