This book provides a brief exposition of some of the devices employed in solving differential equations. Students of physics and engineering will find the clear and concise treatment of the subject, the detailed worked-out examples and the practical applications ideally suited to their need. For students of science, notes in the latter part of the book provide demonstrations of theorems which are referred to, or partially proved, in the first part.
Daniel A Murray
Chapter 1: Definitions. Formation of a Differential Equation Chapter 2: Equations of the First Order and of the First Degree Chapter 3: Equations of the First Order but not of the First Degree Chapter4: Singular Solutions Chapter 5: Applications to Geometry, Mechanics and Physics Chapter 6: Linear Equations with Constant Coefficients Chapter 7: Linear Equations with Variable Coefficients Chapter 8: Exact Differential Equations and Equations of Particular Forms. Integration in Series Chapter 9: Equations of the Second Order Chapter 10: Geometrical, Mechanical and Physical Applications Chapter 11: Ordinary Differential Equations with More Than Two Variables Chapter 12: Partial Differential Equations Miscellaneous Notes Answers to the Examples