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DIFFERENTIAL EQUATIONS (Ordinary and Partial)
Dr. Nanigopal Mandal & Biswadip Pal
First Published: 2015
Third Edition: 2019
Reprints: 1
ISBN: 978-81-942437-6-2
Pages: 784

CONTENTS

- Basic Concepts
- Ordinary Differential Equations of First Order and First Degree - Ordinary Differential Equations of First Order and Higher Degree
- Applications of first order differential equations
- Theory of Linear Systems
- Linear Differential Equations with Constant Coefficients
- Cauchy-Euler Homogeneous Linear Equations
- Second order differential equations with variable coefficients
- Exact Differential Equations: A few special forms
- Initial Value, Boundary Value and Simple Eigen Value Problems for Linear Second Order Differential Equations
- Simultaneous Ordinary Differential Equations
- Simultaneous Equations of the form dx/P = dy/Q = dz/R
- Total Differential Equations
- Linear Autonomous System
- Series Solution of Second Order Ordinary Differential Equations
- Linear Partial Differential Equations
- Non-linear Partial Differential Equations
- Second Order Partial Differential Equations
- Laplace Transforms
- Application of Laplace Transform

ABOUT THE BOOK:  “Differential Equations” is designed primarily to serve as a textbook for undergraduate students in various programs in science and engineering. The book discusses the basic concepts of ordinary and partial differential equations. It contains different methods of solving ordinary differential equations of first-order and higher degree and their applications. It presents the solution methodology for linear differential equations with constant and variable coefficients. The text elaborates the theory of linear systems, simultaneous linear differential equations, total differential equations, eigenvalue problem, and series solution of second order linear differential equations about ordinary and regular singular point. This book also provides the methods of solving partial differential equations of both first and second order. Laplace transform and its application to both ordinary and partial differential equations are also discussed. A large number of solved examples, as well as exercises at the end of each chapter, help the students comprehend and strengthen the underlying concepts.

ABOUT THE AUTHORS:

Dr. Nanigopal Mandal, Ph.D., is an Associate Professor in the Department of Mathematics, Ramakrishna Mission Residential College (Autonomous), Narendrapur, Kolkata. Dr. Mandal is also the co-author of two research monographs “Integral expansions related to the Mehlar Fock transforms” and “Advances in dual integral equations” (published by CRC Press, USA) and the book “A course of advanced Calculus” (published by Joydurga Library).

Sri Biswadip Pal, MCA, M.Sc., is Chair Professor in the Department of Mathematics, Ramakrishna Mission Residential College (Autonomous), Narendrapur, Kolkata. He also served as an Assistant Professor at Swami Vivekananda Institute of Modern Science, Kolkata for six years since 2011.