Description

About The Book

Ordinary differential equations (ODEs) form the foundation of mathematical modeling across science, engineering, and applied disciplines. They describe natural phenomena, physical processes, population dynamics, engineering systems, chemical reactions, biological interactions, and countless real-world situations. A strong understanding of ODEs is therefore essential for students, researchers, and professionals who wish to apply mathematics meaningfully.
This book, Ordinary Differential Equations: A Problem-Solving Approach, is written with the objective of bridging the gap between theory and practice. While traditional texts often emphasize abstract concepts and proofs, this book is designed to provide clarity through conceptual explanations, step-by-step methods, and a rich collection of solved problems. Each chapter introduces the essential ideas in a structured manner and is followed by worked examples, exercises, and practice questions to strengthen understanding.

The text is suitable for undergraduate and graduate students, as well as learners preparing for competitive examinations or seeking a deeper appreciation of ordinary differential equations. It covers classical methods, linear and non-linear ordinary differential equations, system of ODEs, and total differential equations.

Special emphasis has been placed on:

• Clear, intuitive explanations of fundamental concepts
• Systematic techniques for solving different types of ODEs
• Numerous worked examples illustrating each method
• Exercise of varying difficulty to encourage independent learning

We hope that this book will help students develop confidence in solving ODEs and inspire further study in advanced mathematical analysis and applied mathematics.

About The Author

Sudhanshu Aggarwal, Shahida A.T.