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This book explores the basic concepts of ordinary and partial differential equations in a simple, systematic and easy-to-understand manner. It details modelling and applications of the subject and describes various analytical methods for solving them. The lucid writing style with numerous solved examples works together to help render conceptual clarity. Salient Features Covers all the important topics like ordinary differential equations of first order, applications of first-order ODE, higher order linear ODE, series solutions of ODE, special functions, first-order PDE, second-order PDE, Fourier series solution of PDE, Laplace transforms and its applications Stepwise problem-solving approach with explanation of principles and concepts through ample worked-out examples About The Author V. Sundarapandian, Professor, Research and Development Centre, Vel Tech Dr R R & Dr S R Technical University, Chennai Table Of Contents 1 Basic Concepts Of Differential Equations 2 Differential Equations Of First Order And First Degree 3 Total And Simultaneous Differential Equations 4 Differential Equations Of First Order And Not Of First Degree 5 Existence And Uniqueness Theorem For First-Order Differential Equations 6 Applications Of First-Order Differential Equations 7 Higher Order Linear Differential Equations 8 Applications Of Higher Order Differential Equations 9 Exact Differential Equations And Equations Of Special Form 10 Linear Differential Equations Of Second Order With Variable Coefficients 11 Series Solution Of Differential Equations 12 Special Functions 13 Linear Systems Of Differential Equations 14 Linear First-Order Partial Differential Equations 15 Nonlinear First-Order Partial Differential Equations 16 Linear Second-Order Partial Differential Equations 17 Fourier Series Solution Of Partial Differential Equations 18 Laplace Transforms 19 Inverse Laplace Transforms 20 Applications Of Laplace Transforms Appendix A: Summary Of Important Results