Partial Differential Equations

Partial Differential Equations is written for students in science, engineering, and mathematics who have completed calculus through partial differentiation. The present book is based on lectures given by the author to students of various colleges studying mathematics. In designing this course the author tried to select the most important mathematical facts and present them so that the reader could acquire the necessary mathematical conception and apply mathematics to other branches. Therefore in most cases, we did not give rigorous formal proofs of the theorems. This book "Partial Differential Equations" consists of seven chapters "Origin of partial differential equations - Linear Partial Differential Equations of First Order - Homogeneous PDE of order two with constant coefficients- Particular Integrals In PDE- Non-homogeneous Linear PDE - PDE of Order Two with Variable Coefficients- The Laplace transform with differential equations".