In mathematics, differential equations refer to the study of equation that relates to one or more functions and their derivatives. These functions represent physical quantities, the derivatives show the rate of change and the equation itself defines the relationship between the two. The field is concerned with the study of solution of these equations and their properties. They can be divided into many types. Some of these are partial differential equation, ordinary differential equations, non-linear differential equations, and equation order. They are also classified as linear and homogeneous differential equations. Differential equations play an important role in other disciplines such as applied and pure mathematics, physics, biology, economics, and engineering. The book aims to shed light on some of the unexplored aspects of differential equations. It presents the complex subject of differential equations in the most comprehensible and easy to understand language. This book will serve as a reference to a broad spectrum of readers.