SECTION-A: Ordinary Differential Equations

   1. Some Basic Concepts

   2. Solution of Differential Equations with First Order and First Degree

   3. Exact Differential Equations

   4. Bernoulli's Linear and Differential Equations

   5. First Order Higher Degree Differential Equations

   6. Singular Solution and Clairaut's Differential Equations

   7. Orthogonal Trajectories

   8. Homogeneous Linear Differential Equations

   9. Non-homogeneous Linear Differential Equations

  10. Method of Variation of Parameters and Undetermined Coefficients

  11. Equations Reducible to Linear Differential Equations with Constant Coefficients

  12. Simultaneous Differential Equations

  13. Solution of Differential Equations

  14. Legendre Polynomials and Bessel Functions

  15. Applications of Ordinary Differential Equations

SECTION-B: Partial Differential Equations

   1. Introduction to Partial Differential Equations

   2. Solution of Linear Partial Differential Equations of the First Order

   3. Nonlinear Partial Differential Equations of the First Order

   4. General Methods of Solution of Nonlinear Partial Differential Equations of the First Order

   5. Homogeneous Linear Partial Differential Equations with Constant Coefficients

   6. Non-Homogeneous Linear Partial Differential Equations with Constant Coefficients

   7. Partial Differential Equations Reducible to Equations with Constant Coefficients

   8. Classification of Linear Partial Differential Equations of the Second Order

   9. Monge's Methods

  10. Applications of Partial Differential Equations

SECTION-C: Laplace Transforms, Fourier Transforms and Fourier Series

   1. Introduction to Laplace Transforms

   2. Laplace Transforms of Derivatives and Integrals

   3. First and Second Shifting Theorems

   4. Differentiation and Integration of Laplace Transforms

   5. Convolution Theorem and Laplace Transform of Periodic Functions

   6. Solution of Partial Differential Equations using Laplace Transforms

   7. Introduction to Fourier Series

   8. Fourier Transforms

   9. Solution of Differential Equations using Fourier Transforms

        Bibliography

        Index

• This book contains almost all the methods for finding solution of ordinary and partial differential equations with applications.
• The topics of Laplace Transforms and Fourier Transforms with their applications for finding solutions of differential equations are also included.
• Simplified examples with suitable exercises.
• Hints for selected problems are also provided.