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