Ordinary Differential Equations is a comprehensive textbook for M.Sc. 1st Semester Mathematics (Course Code: M-103), authored by H. Kanwar. This book provides a rigorous yet student-friendly introduction to the theory and applications of ordinary differential equations, making it an essential resource for postgraduate mathematics students.
The book systematically covers first-order differential equations, higher-order linear differential equations, systems of differential equations, existence and uniqueness theorems, series solutions, Laplace transform methods, boundary value problems, and applications in science and engineering. Each chapter includes detailed explanations, mathematical proofs, worked examples, and practice exercises to strengthen analytical and problem-solving skills.
Ideal for M.Sc. Mathematics students, as well as candidates preparing for CSIR-NET, GATE, SET, and other competitive examinations, this book serves as both a classroom textbook and a valuable reference for advanced mathematical studies.
Key Features
- Complete coverage of the M.Sc. Mathematics syllabus
- Clear explanations with rigorous mathematical proofs
- Step-by-step solved examples and practice questions
- Covers theoretical concepts and practical applications
- Suitable for postgraduate studies and competitive exam preparation
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