First – Order Differential Equations and Some Applications Using MATLAB

This study introduced real life application of first order differential equation. In this study We basically discussed about different types of differential equation and the solution of first order differential equation and application of first order differential equation in different field of science and technology using MALAB. Further, Newton’s law of cooling and orthogonal trajectory has been incorporated. Study about convective boundary condition and it is used for increasing the temperature. The study followed applied analytical approach. The study reached the most important results, If f and   are continuous near the initial point, there is a unique solution in a small interval around  , first-order ODEs yield specific mathematical patterns when applied to physical systems, a grid of small slopes that visually represent the "result" of the ODE without solving it algebraically. We recommend that researchers conduct further research on solutions to these differential equations using MATLAB and other software to solve and plot them.