Textbook on differential equations and integral transforms

✍ Scribed by Vasishtha A.R.

• Publisher: Krishna Prakashan
• Year: 2020
• Tongue: English
• Leaves: 595
• Category: Library

✦ 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