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The book intends as an undergraduate text for Partial Differential Equations (PDEs).The book includes method for the solution of Linear Partial Differential Equations of order one, methods for the solution of Non-linear Partial Differential Equations of order one and method of separation of variables for the solution of parabolic, elliptic and hyperbolic PDEs. The book includes the solutions of Heat, Wave and Laplace equations in Cartesian, Spherical and Cylindrical coordinates. This book consists of eight chapters.