The book “Ordinary Differential Equations 2” by Vladimir Igorevich Arnold is a continuation of his famous work, which became a classic in the field of mathematical analysis and the theory of differential equations. This volume, like the previous one, represents a deep and fascinating immersion into the world of ordinary differential equations, their properties and applications. Arnold, an outstanding mathematician and educator, offers the reader not only theoretical fundamentals but practical aspects as well, making the book a valuable resource for both students and professionals. The book discusses various types of ordinary differential equations, their solutions and methods of analysis. Arnold focuses on the geometric approach to equations, which allows the reader to better understand the dynamics of the systems described by these equations. It uses intuitive examples and illustrations to make complex concepts more accessible. The reader will be able to see how mathematical models are applied to real-world problems, from physics to biology, giving the book practical value. This book will be especially interesting for students and graduate students of mathematical and physical specialties, as well as for anyone who is fond of mathematics and its applications. It is suitable for both those who are just beginning to study differential equations, and those who already have some experience and want to deepen their knowledge. Arnold is able to explain complex things in simple language, which makes his books available to a wide audience. The topics raised in the book cover a wide range of issues: from the existence and uniqueness of solutions to the sustainability and qualitative analysis of dynamic systems. Arnold also addresses issues related to numerical methods, which makes this work relevant in light of modern computing technologies. The book not only teaches, but also inspires further research in the field of mathematics. Arnold's style is clear and logical, which makes his work particularly valuable for study. He masterfully combines a strict mathematical approach with intuitive explanations, which allows the reader not only to assimilate the material, but also to love mathematics. Other well-known works of the author include “Geometry of Differential Forms” and “Mathematical Methods of Classical Mechanics”, which also deserve attention and are an integral part of mathematical literature. The book “Ordinary Differential Equations 2” is not just a textbook, but a real find for everyone who wants to understand how the world works through the prism of mathematics. It offers the reader a unique opportunity not only to study the theory, but also to see how this theory is applied in various fields of science. If you are looking for literature that will help you deepen your knowledge of differential equations and open new horizons in understanding mathematical models, then this book will become your reliable companion in this fascinating journey. Do not miss the opportunity to get acquainted with the work of one of the greatest minds of our time and discover the world of ordinary differential equations in a new light!