The Ordinary Differential Equations . Summary of Lectures in Higher Mathematics" is a unique and valuable guide that will become an indispensable assistant for students, graduate students and anyone interested in mathematics and its applications. The team of authors, who gathered their knowledge and experience, created this summary in order to make complex topics more accessible and understandable. The book focuses on ordinary differential equations (ODEs), an essential branch of mathematical analysis that finds application in a wide variety of fields, from physics and engineering to biology and economics. ODEs help to model dynamic processes that describe changes in time, and their study opens the door to understanding the many phenomena surrounding us. This, in turn, makes the book relevant not only for students of mathematical and technical specialties, but also for everyone who seeks to understand complex systems and processes. The book covers a wide range of topics, ranging from the basics of OCA theory to more complex aspects, such as systems of equations and qualitative analysis. Each section is written with clarity and logic, which allows the reader to gradually delve into the material. The authors pay attention not only to theoretical aspects, but also to practical tasks, which makes the study more exciting and useful. Readers will be able to find many examples, problems and solutions that will help consolidate the knowledge gained and put it into practice. This book will be of particular interest to students studying mathematics, physics, engineering and related disciplines. It is also suitable for teachers who are looking for high-quality materials for the preparation of lectures and seminars. Due to the available presentation language and clear structure, even those who are just beginning to get acquainted with differential equations will be able to easily assimilate the material. The topics raised in the book go beyond the simple study of equations. The authors discuss the methods of solution, their application in real problems and even relate to the issues of numerical analysis. This makes the book not just a textbook, but a real guide to the world of mathematical modeling. In addition, the work on the outline was carried out taking into account modern training requirements, which makes it relevant for today. The style of the authors is clear and logical . They aim to make complex concepts understandable by using simple examples and illustrative illustrations. This allows the reader not only to remember the material, but also to learn how to use it in various situations. The book “Ordinary Differential Equations” will be an excellent addition to the library of anyone who wants to deepen their knowledge in mathematics. If you are looking for a tutorial on higher mathematics that will help you understand ordinary differential equations, this book is an excellent choice. It will not only enrich your knowledge, but also inspire you to further study mathematics and its applications. Do not miss the opportunity to immerse yourself in the fascinating world of differential equations and discover new horizons of science!