Chapter 8

प्रस्तावना

The preface introduces the textbook 'Differential Equations' designed for the B.Sc. Part II Mathematics curriculum at Vardhman Mahaveer Open University, Kota. It highlights the importance of differential equations in various fields such as physics, engineering, and applied sciences. The text emphasizes the use of English terminology alongside Hindi for clarity and standardization. The book is structured into multiple units, each written by expert authors, and is intended to provide factual and comprehensive guidance for both academic study and competitive examinations. The preface acknowledges the contributions of various authors and editors, and assures students that the material is based on standard references and is suitable for self-study and exam preparation.

• Differential equations are fundamental in mathematics and applied sciences.
• The textbook is structured as per the B.Sc. Part II Mathematics syllabus.
• Expert authors contributed to each unit for factual accuracy.
• English terminology is used alongside Hindi for clarity.
• Material is suitable for competitive exams and self-study.
• 📌 Differential Equation: An equation involving derivatives of a function.
• 📌 Preface: Introduction to the textbook and its objectives.

इकाई सं. (Unit Structure)

This section provides the structure and contents of the textbook, listing all units and their page ranges. Each unit covers a specific aspect of differential equations, starting from first order and first degree equations, progressing to higher order and degree, linear equations, simultaneous equations, existence and uniqueness theorems, and partial differential equations. The structure ensures a logical progression from basic to advanced topics, facilitating comprehensive learning.

• The textbook is divided into 15 units.
• Units cover topics from first order equations to partial differential equations.
• Each unit has a specific page range for easy reference.
• Topics include linear, simultaneous, and higher order equations.
• 📌 Unit: A section of the textbook covering a specific topic.
• 📌 Page Range: Indicates where each unit is located in the book.