Differential equations: detailed analysis of solutions of typical examples. 1800 examples collected in multivariate

The textbook is a collection of tasks on differential equations, the peculiarity of which is that the tasks and examples are presented here in the form of the same multivariate tasks on the most important topics of the course of differential equations. In the process of many years of teaching with students of physical specialties, the author repeatedly tested examples collected in this manual: for solutions as homework, control and independent work, examples in examination and test tasks, as well as examples solved on the board during practical classes.
Covering all topics and types of examples in the form of multivariate tasks is an excessive task, however, in this manual, the author tried to collect all the most important types of examples, the solution of which is mainly algorithmic in nature. Only a confident ability to solve such examples will subsequently give an opportunity to a specialist both to fully own methods of differential equations, and to develop these methods himself.
For numerous formulas and mathematical badges, the author sees well in front of him his main reader - a student studying the highest mathematics. The proposed examples and tasks formed from them are called to help the successful study of the important section of the highest mathematics by this reader.
Designed for students of physical and mathematical specialties of universities, as well as students of technical and economic specialties