Differential Equations, written by Harry Bateman and first published in 1918, is a comprehensive textbook on the subject of differential equations. The book is divided into three parts, covering ordinary differential equations, partial differential equations, and integral equations. The first part of the book covers the basic theory of ordinary differential equations, including first-order equations, linear equations, and systems of equations. It also includes chapters on power series solutions, special functions, and numerical methods for solving differential equations. The second part of the book focuses on partial differential equations, including the wave equation, heat equation, and Laplace's equation. It covers the method of separation of variables, Fourier series, and other techniques for solving partial differential equations. The final part of the book covers integral equations, including Fredholm and Volterra equations, and their applications in physics and engineering. Throughout the book, Bateman provides numerous examples and exercises to help readers understand the material. The book is well-written and accessible to students with a solid background in calculus and linear algebra. It remains a valuable resource for students and researchers in mathematics, physics, and engineering.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.