Author : H K Dass, Rajnish Verma & Rama Verma
Price : 350.00 280.00
The book covers both ordinary and partial differential equations, ranging from foundational techniques to advanced solution methods. Key topics include first-order and higher-order differential equations, exact and linear forms, orthogonal trajectories, simultaneous differential equations and the elegant methodologies of Lagrange, Charpit and Monge. Additionally, the book offers insights into the historical contributions of prominent Indian mathematicians, blending cultural heritage with academic rigor. Each chapter is enriched with clear explanations, illustrative examples and practice problems to support concept mastery and exam readiness. A dedicated section of the latest university examination questions enhances its utility for self-assessment and revision.
Unit I
1. Contributions and Biography of Indian Mathematicians
2. Differential Equation of First Order and First Degree
3. Variables Separable Differential Equations
4. First Order Homogeneous Differential Equations
5. First Order Linear Differential Equations and Reducible Form
6. Exact Differential Equations and Integrating Factors
7. First Order Higher Degree Differential Equations for x, y and p
8. Orthogonal Trajectories
Unit-II
9. Second and Higher Order Linear Differential Equations with Constant Coefficients
10. Transformation of Differential Equations by Changing the Variable
11. Method of Variation of Parameters
12. Ordinary Simultaneous Differential Equations
Unit-III
13. Lagrange's and Charpit's General Methods
14. Equations Solved by Methods Other than General Method
15. Classifications and Linear Partial Differential Equations of Second and Higher Order with Constant Coefficients
Unit IV
16. Equations Reducible to Linear Partial Differential Equations with Constant Subgroups
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