n वीं कोटि के यथातथ्य अवकल समीकरण

प्रस्तावना

The book "Differential Equations" is designed according to the curriculum of Vardhman Mahaveer Open University, Kota, for B.Sc. Part II Mathematics, Paper II. Considering the nature of Mathematics, appropriate use of English terminology is made throughout the book. Various units are written by subject experts and standard references have been used to ensure factual accuracy. The book is also helpful for students preparing for competitive examinations. This introductory section sets the stage for the systematic study of differential equations, emphasizing their importance in mathematics and applied sciences.

• The book follows the syllabus of Vardhman Mahaveer Open University.
• English mathematical terms are used for clarity.
• Written by subject experts using standard references.
• Useful for competitive exam preparation.
• 📌 Differential Equation: An equation involving derivatives of a function.

इकाई की रूपरेखा

This section provides the outline of Unit 1: Differential Equations of First Order and First Degree. It lists the topics to be covered, including objectives, introduction, definitions, types of differential equations, order and degree, types of solutions, equations of first order and first degree, variable separable methods, homogeneous equations, reducible equations, summary, glossary, answers to self-assessment questions, and practice exercises. This roadmap helps students understand the structure and flow of the unit.

• Unit covers first order and first degree differential equations.
• Includes definitions, types, order and degree, and solution methods.
• Contains summary, glossary, and exercises for practice.
• 📌 Order: The highest order of derivative in a differential equation.
• 📌 Degree: The highest power of the highest order derivative, provided the equation is polynomial in derivatives.