Introduction of Ordinary Differential Equation. 2. Differential Equations of the First Order and First Degree. 3. Differential Equations of First Order and of Higher Degree. 4. Linear Differential Equations with Constant Coefficients. 5. Homogeneous Linear Differential Equations with Variable Coefficients. 6. Exact Differential Equations and Differential Equations of Higher Order. 7. Linear Differential Equations of Second Order. 8. Simultaneous Linear Differential Equations. 9. Total Differential Equations. 10. Partial Differential Equations (PDE) of First Order. 11. Linear Partial Differential Equations with Constant Coefficients. 12. Partial Differential Equations of Order Two with Variable Coefficients. 13. Power Series Method. 14. Bessel’s Equation and Bessel’s Function. 15. Legendre’s Equation and its Polynomials. 16. Laplace Transform and its Applications. 17. Applications of Partial Differential Equations of Order Two. 18. Fourier Transforms and its Applications to Partial Differential Equations. 19. Z-Transforms and its Applications, Index