# DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS

PHI Learning Pvt. Ltd., Jan 1, 2004 - Mathematics - 528 pages
Primarily intended for the undergraduate students in Mathematics, Physics and Engineering, this text gives in-depth coverage of differential equations and the methods of solving them. The book begins with the basic definitions, the physical and geometric origins of differential equations, and the methods for solving first-order differential equations. Then it goes on to give the applications of these equations to such areas as biology, medical sciences, electrical engineering and economics. The text also discusses, systematically and logically, higher-order differential equations and their applications to telecom-munications, civil engineering, cardiology and detec-tion of diabetes, as also the methods of solving simultaneous differential equations and their applica-tions. Besides, the book provides a detailed discussion on Laplace transform and their applications, partial differential equations and their applications to vibration of a stretched string, heat flow, transmission lines, etc., and calculus of variations and its applications. This book, which is a happy fusion of theory and application, would also be useful to postgraduate students.

### What people are saying -Write a review

We haven't found any reviews in the usual places.

### Contents

 DIFFERENTIAL EQUATIONS OF FIRST ORDER 27 Exercises 63 APPLICATIONS OF FIRST ORDER DIFFERENTIAL 78 Exercises 755 155 HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS 162229 162 APPLICATIONS OF HIGHERORDER DIFFERENTIAL 230 SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS 299
 LAPLACE TRANSFORMS AND THEIR APPLICATIONS 353 Exercis es 388 Exercises 439 Bibliography 485486 485 Index 511514 507 Copyright

### Popular passages

Page 4 - The degree of a differential equation is the degree of the highest derivative after removing the radical sign and fraction.
Page 4 - SOLUTION OF A DIFFERENTIAL EQUATION A solution of a differential equation is a relation between the...

ZAFAR AHSAN, Ph.D., is with the Department of Mathematics, Aligarh Muslim University, Aligarh. He is also visiting associate, Inter University Centre for Astronomy and Astrophysics, Pune. A member of Astronomical Society of India, Indian Society of Industrial and Applied Mathematics, a council member of Indian Association for General Relativity and Gravi-tation, and managing editor of The Aligarh Bulletin of Mathematics, Dr. Ahsan has published a number of research papers in prestigious national and internatio-nal journals, and has authored a book, Vector Analysis.