This book provides advance research in the field of applications of Differential Equations in engineering and sciences and offers a theoretical sound background along with case studies. It describes the advancement of Differential Equations in real life for engineers. Along with covering many advanced Differential Equations and explaining the utility of these equations, the book gives a broad knowledge of Differential Equations used to solve and analyze many real value problems such as calculating the movement or flow of electricity, the motion of an object to and fro like a pendulum, or explaining thermodynamics concepts by making use of various mathematical tools, techniques, strategy, and methods in engineering applications. This book is written for researcher scholars, as well as undergraduate, and postgraduate students of engineering.