Differential Equations: CBCS Semester II – Eastern India Universities

·         On the Website: Lipschitz condition and Picard's Theorem and the Existence and Uniqueness Theorem

·         Close to 400 examples aid in ease of understanding of the concepts

·         More than 900 questions (as in-text and book-end exercises) to enhance and strengthen learning quotient

·         Additional Roadmap for the syllabuses of Odisha State, Burdwan, Calcutta, Dibrugarh and Gauhati universities

1. Differential Equations and Mathematical Models

2. Separable Equations and Reducible Form

3. First Order Homogeneous, Non-Homogeneous Differential Equations

4. First Order Linear Differential Equations

5. Exact Differential Equation and Integrating Factors

6. First Order Higher Degree Equations

7. Application of First Order Differential Equations

8. Compartmental Models

9. Linear Differential Equations with Constant Coefficients

10. Differential Equations with Variable Coefficients

11. Cauchy - Euler Differential Equation

12. Method of Variation of Parameters

13. Method of Undetermined Coefficients

14. Simultaneous Differential Equations

15. Total Differential Equations

16. Applications of Second Order Differential Equation

17. Phase-plane Analysis of Compartmental Models

18. Linear Partial Differential Equations of First Order: Lagrange-Charpit Method

19. Linear and Nonlinear Partial Differential Equations

20. Classification of Partial Differential Equations

21. Partial Differential Equations: Method of Separation of Variables

22. Power Series Solutions

23. Bessel's Functions

·         Latest Examination Questions

·         Index

This book is designed for B.Sc. Mathematics (Honours and Programme course) students.