About the book

This problem book contains exercises for courses in differential equations at technical institutes.

Topics covered include, Inter alia, the method of isoclines for equations of the first and second order, problems in finding orthogonal trajectories, the use of the method of superposition in solving linear differential equations of order n, linear dependence and linear independence of a system of functions, problems in solving linear equations with constant and variable coefficients, boundary value problems for differential equations, integrating equations in power series, asymptotic integration, integrating systems of differential equations, Lyapunov stability, and the operator method.

Each section begins with a summary of basic facts and comprises worked-out examples of typical problems.

The book contains 967 problems, a considerable proportion of which have been composed by the authors themselves. There are some exercises of a theoretical nature.

The book is intended for students of technical institutes.

CONTENTS

CHAPTER I. Differential Equations of the First Order

CHAPTER II. Differential Equations of Higher Orders

CHAPTER III. Systems of Differential Equations

CHAPTER IV. Stability Theory