Differential Equations

This book was created by blending the lecture notes used for years for the Differential Equations course taught in the Department of Mathematics, Faculty of Science, Ankara University, with the current literature, and rearranging them in the required width and depth in an original way. Consisting of fifteen chapters and 554 pages, this book is designed to be taught in undergraduate mathematics programs for two semesters.
In this book, basic concepts, theorems and solution methods, which are indispensable for differential equations, are emphasized and attention is drawn to the real-life application areas of differential equations. Graphs were drawn, tables were set up, sufficient number of examples were solved and many exercises were given so that the concepts, theorems and solution methods covered could be easily understood. In addition, sample problems for different application areas of differential equations were examined and a series of exercises were prepared in this context. Finally, the answers to most of the exercises left to the reader are shared at the end of the book for self-control. In this respect, this book has general norms that can be followed and taught as a textbook not only in mathematics departments, but also in physics, astronomy and space sciences and engineering departments. In summary, anyone who has undergraduate or graduate education in basic sciences, engineering, economics and health and needs differential equations can easily benefit from this book as much as they want.