This thoroughly revised text, now in its Second Edition, continues to provide a comprehensive treatment of the principal topics of ordinary differential equations, special functions and Laplace transform, and demonstrates the utility of the subject through a variety of applications to engineering problems. The text provides detailed logical explanations of the subject’s theoretical foundations, while at the same time helping students develop strong problem-solving skills. In addition, a large number of solved examples interspersed throughout the text help in providing the students with an in-depth insight into the underlying concepts and their applicability to solutions of problems in engineering and physical sciences. The book is intended to serve as a textbook for undergraduate students of mathematics as well as all branches of engineering. NEW TO THE SECOND EDITION  Contains two new sections, one on Methods of Regrouping and another on Independent Functions.  Includes numerous solved problems and chapter-end exercises with hints.