"Mathematics. Differential equations: A textbook is not just a textbook, but a real guide to the fascinating and complex world of differential equations, created by a team of experienced authors with deep knowledge of the subject and a passion for teaching. This book is intended for students, graduate students and teachers who seek to understand the fundamental principles and practical application of differential equations in various fields of science and technology. It will become an indispensable assistant for those who want not just to memorize the theory, but to learn how to apply it to real-world problems, whether it be modeling physical processes, engineering calculations or economic forecasts. The title of the book is “Mathematics .” Differential Equations: A Tutorial" reflects its main task: to make complex material accessible and understandable, revealing it from different angles. In this manual, the authors are not limited to dry formulas and theorems, they create a living picture in which differential equations appear as tools for describing and analyzing dynamical systems. The reader is immersed in an exciting world of mathematical models, where each equation is the key to understanding the processes occurring in nature, technology, and economics. The book is especially suitable for senior students of mathematical, physical and mathematical, engineering and economic faculties, as well as graduate students looking for a reliable and structured guide to the topic . It will be of interest to those who appreciate the systematic approach, clarity of presentation and practical orientation. For those who are just starting their way in the study of differential equations, the book will be a reliable start, and for those who already have basic knowledge, it will be an opportunity to deepen their understanding and expand their skills in solving complex problems. The author’s team adheres to the principle of explaining the complex through the understandable, linking theory with practice and showing how differential equations help to model real processes. The presentation style is distinguished by clarity, logical structure and richness of examples, which makes the material not only accessible, but also fascinating. There are many illustrations, graphs and step-by-step solutions in the book, which contributes to a better assimilation of material and the development of analytical thinking. A special place in the book is occupied by the consideration of classical methods for solving differential equations, such as the separation of variables, integrating factors, characteristic equations and approximation methods. But the authors are not limited to theory they show how these methods are applied in practice, bring real problems from physics, engineering, biology and economics, which makes the book especially relevant for the modern reader. It raises important topics - stability of systems, dynamic models, nonlinear equations and numerical methods, which allows the reader to get a full understanding of the current state of the science of differential equations. In addition, the book "Mathematics . Differential Equations: A Study Guide" deserves attention for its structure and consistency. It is designed so that the reader can easily navigate, find the necessary sections and consolidate knowledge through practical tasks and control questions. This makes it not only a teaching tool, but also an excellent tool for self-study and exam preparation. If you are looking for a book that combines academic rigor and practical applicability, then this edition will be a reliable companion for you in the study of differential equations. It will help to understand not only “how” to solve equations, but also “why” it is important, revealing the deep connections of mathematics with the real world. The author's style, wealth of examples and clarity of presentation make this book worthy of attention of both students and teachers, as well as anyone interested in mathematics and its applications. In general, "Mathematics. Differential Equations: A Textbook is not just a textbook, but a key to understanding the dynamics of the surrounding world through the prism of mathematics. This book will open up new horizons of knowledge for you, help you master complex concepts and teach you to see mathematics in everyday phenomena. It will be your reliable assistant on the way to professional growth and academic success, as well as a source of inspiration for further research and discoveries.