Solution of Time Independent System of First Order Ordinary Differential Equations Using Embedding Method in Fuzzy Environment

Abstract

In this study, time independent system of first order fuzzy ordinary differential equations is solved using embedding method. Results for the system of FODEs are obtained and a case of non-homogeneous system of FODEs is established and used to find the Eigen values in an  n x n matrix with negative real numbers R- consisting of n fuzzy numbers. Examples are constructed using the principles of existence and uniqueness. It is recommended that further study should look at the possibilities of generalizing this work to nth order system of first order ordinary differential equations using embedding method in fuzzy environment.