This book contains fourteen chapters, Solution in Series, Pieard`s Iteration Methods (Uniqueness and Existence Theorem), Partial Differential Equations First Order, Partial Differential Equations with Constant Coefficients, Partial Differential Equations of Order Two, Monge`s Method`s of Integration, Linear Partial Differential Equations. Singular Solution, Exact Differential Equations (Particular Forms), Numerical Integration, Wave, Heat, Laplace and Diffusion Equations, Boundary Value Problems, Linear Differential Equations (Martix Method), Cobweb Phenomenon and Generating Functions. Each chapter of this hook contains complete theory and a fairly large number of examples, sufficient problems have also been selected from various universities examination papers.