The objective of this book is to present a substantial introduction to the ideas, phenomena and methods of the problems that are frequently observed in mathematics, mathematical physics and engineering technology. The book can be appreciated at a considerable number of levels and is designed for everyone from amateurs to research workmen.Included throughout are applications with appropriate suggestions and discussions, whenever needed, that form a significant and integral part of the text book.

In a word, the text directs at an all-embracing and practical treatment of differential equations with some methods specifically developed for the purpose controlled by computer programs. The effects of this treatment, the computerised solutions for each problem, represented in compact form, sometimes with graphical figures, have been provided for further study.