Matlab solution for first order differential equations on real time engineering applications

A differential equation is an equation involving derivatives of an unknown function and possibly the function itself as well as the independent variables [1]. Differential equations have a remarkable ability to predict the world around us. They are used in a wide variety of disciplines, from Biology, Economics, Physics, Chemistry and Engineering. They can describe exponential growth and decay, the population growth of species or the change in investment return over time. The concept of differential equations is an integral part of Mathematics for understanding the physical sciences [3]. Most differential equations arise from problems in Physics, Engineering and other basic Sciences and these equations serve as mathematical models for solving numerous problems in the field of Science and Engineering. Formulating differential equation to real world problem is not easy. Firstly, those real world problems requiring differential equation need to be identified, formulate Mathematical model based on some assumption and enumeration [4]. The formulated equations are interpreted using Matlab as a tool for verification and synthesis. In the present study differential equation formulation to Rate of change of moisture, Speed of racer, One Cistern mixing problem and Sky diving are discussed and relevant synthesis are obtained and shown using Matlab tool.