Differential equations are equations involving the derivatives of a dependent variable with respect to one or two independent variables.
These systems involving change are represented mathematically using differential equations. Mechanical systems involve time related change in position and speed, electric systems involve change in current and voltage with time as well as several other systems from fields like engineering, economics, social sciences, biology, business and so on. The dynamic behavior of systems is an interesting and important subject of study for scientists, Marcel B. Index Terms – Advent of computer application, Analytic approach, Differential equation, Dynamic, Matlab, Matrix laboratory, Non- Stiff, Stiff, ………………………………………….♦………………………………………… 1. Six problems are solved, three of which are stiff and three non-stiff using the relevant MATLAB solvers and the solutions are presented. In this work, we present the solvers in MATLAB for obtaining numerical solution for initial value problems of ODEs – ode45, ode23, ode113, ode15s, ode23s, ode23t, ode23tb. The advent of computer applications like MATLAB starting from the mid 20th century has made a drastic improvement in numerical solutions for differential equations. Due to the complexity of these systems, analytical methods are often difficult or impossible to implement for such problems and so numerical methods are the way out. Ogwo Abstract - Many important and complex systems from different fields of sciences are modeled using differential equations. Mathematical Analysis of Stiff and Non-Stiff Initial Value Problems of Ordinary Differential Equation Using Matlab International Journal of Scientific & Engineering Research, Volume 5, Issue 9, September-2014 49 MATHEMATICAL ANALYSIS OF STIFF AND NON-STIFF INITIAL VALUE PROBLEMS OF ORDINARY DIFFERENTIAL EQUATION USING MATLAB