Textbook on Differential Equations & Integral Transforms

✍ Scribed by A. R. Vasishtha

• Publisher: Krishna Prakashan Media P. Ltd.
• Year: 2020
• Tongue: English
• Leaves: 595
• Edition: 2
• Category: Library

✦ Synopsis

This book has
been specially written according to the latest Unified Syllabus to meet the requirements
of the B.A. and B.Sc. Part-II Students of all Universities in Uttar Pradesh.
The subject matter has been discussed in such a simple way that the students will find
no difficulty to understand it. The proofs of various theorems and examples have been
given with minute details. Each chapter of this book contains complete theory and a
fairly large number of solved examples. Sufficient problems have also been selected from
various university examination papers. At the end of each chapter an exercise containing
objective questions has been given.

✦ Table of Contents

Differential Equations & Integral Transforms
Dedication
Preface
Syllabus
Brief Contents
Section-A: Differential Equations (1)
Section-A: Differential Equations (2)
Chapter 1. Differential Equations of First Order and First Degree
Chapter 2. Differential Equations of the First Order but not of the First Degree
Chapter 3. Orthogonal Trajectories
Chapter 4. Linear Differential Equations with Constant Coefficients
Chapter 5. Homogeneous Linear Differential Equations
Chapter 6. Ordinary Simultaneous Differential Equations
Chapter 7. Linear Equations of Second Order with Variable Coefficients
Chapter 8. Partial Differential Equations of the First Order
Chapter 9. Linear Partial Differential Equations of Second and Higher Order with Constant Coeff.
Chapter 10. Partial Differential Equations of Second Order with Variable Coefficients
Chapter 11. Monge's Method
Chapter 12. Series Solutions of Differential Equations
Chapter 13. Legendre's Functions
Chapter 14. Bessel’s Functions
Section-B: Integral Transforms (1)
Section-B: Integral Transforms (2)
Chapter 1. The Laplace Transform
Chapter 2. The Inverse Laplace Transform
Chapter 3. Applications of Laplace Transform
Chapter 4. Fourier Transforms
Chapter 5. Finite Fourier Transforms
Chapter 6. Applications of Fourier Transforms in Initial and Boundary Value Problems
Chapter 7. Fourier Series