Differential equation is a mathematical model for situations where a relationship between a continuous variable and its rate of changes are available. It has applications in many areas of science such as engineering, physics, and economics. We study simple types of ordinary differential equations and their solutions. Topics of this course include: solutions of first- and second order linear differential equations, non-linear exact and separable equations, integrating factors, homogeneous equations, higher-order linear
equations, initial and boundary value problems, solutions as functions of the equations parameters, Laplace transforms.