Differential Equations with Applications

Autorentext

Rakesh Dube is Professor in the Department of Mathematics at AKG Engineering College
Ghaziabad, India. He specializes in advanced mathematical research and education, contributing significantly to the academic community through his teaching and scholarly work.

Nimisha serves as Associate professor in the Department of Applied Sciences & Humanities at ABES Engineering College, Ghaziabad, Uttar Pradesh, India. Her expertise lies in interdisciplinary research and education, fostering innovation and academic excellence in applied sciences and humanities.

Klappentext

This book provides an in-depth exploration of ordinary and partial differential equations, their formation, solutions, and applications. Covering topics such as Euler-Cauchy equations, Bessel functions, Legendre polynomials, and Fourier series, the book is designed for advanced academic and professional audiences. It includes detailed methodologies, theorems, and practical examples to support learning and research in mathematics, and:

• Explores ordinary and partial differential equations in depth.
• Provides detailed methodologies and theorems for advanced study.
• Covers specialized topics like Bessel functions and Legendre polynomials.
• Includes practical applications in heat and wave equations.
• Bridges theoretical concepts with real-world mathematical modeling. This title has been co-published with Manakin Press. T&F does not sell or distribute the print editions in Bangladesh, Bhutan, India, Nepal, Pakistan, and Sri lanka.

Inhalt

1. Differential Equations and Their Formation
2. Ordinary Differential Equations of First Order
3. Linear Differential Equations With Constant Coefficients
4. Euler-Cauchy's Differential Equations
5. Ordinary Simultaneous Differential Equations
6. Linear Differential Equation of Second Order
7. Solution in Series
8. Bessel's Equation and Bessel's Functions
9. Legendre's Equation and Legendre's Polynomials
10. Introduction to Partial Differential Equations
11. Linear Partial Differential Equations With Constant Coefficients
12. Classification of Linear Partial Differential Equations of Second Order
13. Applications of Partial Differential Equation