A Course of Lectures on Ordinary Differential Equations is a publication that will become an indispensable assistant for students, graduate students and anyone interested in mathematics and its applications in various fields of science and technology. Compiled by a team of authors, this course is a systematic and accessible material that covers the main aspects of the theory of ordinary differential equations, their solution and practical application. The book begins with the basics, gradually immersing the reader in the world of differential equations, which are key tools for modeling a variety of processes - from mechanics to biology. In each section, the authors seek to explain not only the mathematical methods, but also the physical and engineering concepts behind them. This makes the material more understandable and interesting, especially for those who want to see the practical application of the theory. One of the main topics of the book is the classification and methods of solving various types of ODUs .. Readers will become familiar with important concepts such as linear and nonlinear equations, homogeneous and heterogeneous systems, as well as methods such as the method of variation of constants and the method of integrating factor. Each section is accompanied by examples, which allows you to better absorb the material and apply it in practice. Who can like this book? First of all, it will be useful for students of technical and natural sciences, studying mathematics, physics, engineering or computer science . It may also be of interest to teachers who are looking for quality teaching materials for their courses. In addition, the book will be useful to anyone who wants to refresh their knowledge in the field of differential equations or just delve into this fascinating topic. The topics raised in the book go beyond purely mathematical aspects. The authors discuss the application of OCA in real-world problems, such as modeling of system dynamics, stability analysis and optimization. This makes the book especially valuable for those who want not only to study the theory, but also to understand how it is applied in real life. In this context, the course of lectures on ordinary differential equations becomes not just a textbook, but a real guide to the world of mathematical modeling. The style of the authors is distinguished by the clarity and logic of the presentation . They aim to make complex concepts understandable, which is especially important for students who may face difficulties in perceiving abstract mathematical ideas. The book is written taking into account modern educational standards and includes a lot of exercises and tasks, which allows readers to consolidate their knowledge. If you are looking for literature that will help you to better understand ordinary differential equations and their application, then the "course of lectures on ordinary differential equations" will be an excellent choice. This edition will not only expand your knowledge, but also inspire you to further study mathematics and its practical aspects. In addition to this, if you are interested in topics such as mathematical modeling, numerical methods or applied mathematics, you can also pay attention to other works such as "