Differential Equations: with Applications and Programs

Includes Index

This book is designed to serve as a textbook for undergraduate students of maths, physics, physical chemistry, engineering, etc. throughout India. There is rigorous coverage of the theory and a number of application-oriented problems drawn from various disciplines such as science, medicine, economics and agriculture. It also contains a large number of worked examples besides exercises and answers. One chapter is devoted to numerical techniques to solve differential equations in which computer programs and printouts of worked examples are included.

Contents:
Preface / Basic Concepts / Differential Equation of First Order and First Degree / Differential Equations of First Order and Higher Degree / Orthogonal Trajectories / Higher Order Linear Differential Equations (with constant coefficients) / Cauchy-Euler Differential Equations / Simultaneous Differential Equations (in two variables with constant coefficients) / Second Order Differential Equations with Variable Coefficients / Power Series Solutions of Different Equations / Legendre's Equation and Polynomials / Bessel's Differential Equation / Total Differential Equations / Simulation Total Differential Equations / Laplace Transforms / Fourier Series / Numerical Solution of Differential Equations / Answers to Exercises / Bibliography / Index