Differential Equations, 3Rd Ed

This book contains basic methods, theory and applications of elementary differential equations. Part i of this book includes all the basic material found in a one semester introductory course in ordinary differential equations. Part ii introduces students to certain specialized and more advanced methods, as well as providing a systematic introduction to fundamental theory. · first-order equations for which exact solutions are obtainable · explicit methods of solving higher-order linear differential equations · series solutions of linear differential equations · approximate methods of solving first-order equations · existence and uniqueness theory · sturm-liouville boundary-value problems and fourier series · partial differential equations