The book offers a compact, fundamental introduction to the theory of ordinary differential equations from the perspective of dynamical systems, suitable for a one-semester course. In addition to discussing solution theory and the theory of linear systems, it specifically covers simple analytical and numerical solution methods, concepts from dynamical systems theory, stability, bifurcations, and Hamiltonian systems. The material is consistently illustrated and deepened through examples, questions, exercises, and computer experiments. The book is particularly well-suited for undergraduate studies, both as a companion to the module "Ordinary Differential Equations" and for self-study. Only basic courses in analysis and linear algebra are assumed as prerequisites.