Textbook of Differential Equations – I: Semester III: Core VI (NEP Odisha)

Product Overview & Details

The book Differential Equations-I is a comprehensive and well-structured textbook designed to needs of B.Sc. Third Semester (Core VI) students of Mathematics as per the Common Minimum Syllabus prescribed for Odisha University and other Universities and Colleges under the recommended National Education Policy 2020 in Odisha.

The book provides a clear and comprehensive introduction to the theory, methods and applications of differential equations. Specially designed for undergraduate students of mathematics and allied disciplines, the book blends rigorous concepts with real-life applications, making it both exam-oriented and concept-driven.

Starting from the basic concepts and classification of Differential Equations, the text progresses through Exact, Separable, Homogeneous, Linear and Bernoulli Equations. A distinctive section on Mathematical Modelling demonstrates how differential equations describe real-world phenomena such as Radioactive Decay, Epidemics, Population Growth, Pollution, Predator-Prey Systems and Battle Models. The book further covers Second and Higher-Order Linear Equations, Ordinary Differential Equations in more than two variables and Partial Differential Equations of the First Order, before concluding with the Method of Separation of Variables.

Each chapter is enriched with worked examples, carefully structured exercises, review problems, and additional appendices, ensuring both depth of understanding and extensive practice.

• Comprehensive coverage of First-Order, Higher-Order and Partial Differential Equations.
• Unique focus on mathematical models.
• Step-by-step methods for solving linear and non-linear equations.
• Well-graded exercises, review questions and miscellaneous problems at the end of chapters.
• Appendices on Charpit's Method and equations solvable by direct integration, along with selected answers.

Student-friendly presentation balancing theory solved examples and applications.