Differential equations is an important tool in all natural sciences. They are studied both for their strength as a modelling tool, and because of their central role in pure mathematics. This course will be concerned with the socalled ordinary differential equations, among which the linear differential equations with constant coefficients are known from the course ‘Linear Algebra’. The aim of the course is to give the participants knowledge of fundamental results and methods from the theory of ordinary differential equations. We will focus partly on solution methods for separable and linear equations, and partly on qualitative methods for analysing solutions, that is methods that do not depend on explicit knowledge of the form of the solutions.
