Abstract
This paper deals with the fuzzy initial value problem and how to solve a linear fuzzy differential equation of first order when the initial condition is a triangle fuzzy number. This problem is then developed to the case when the initial condition is a trapezoidal fuzzy number. The paper includes also the issue of the representation of a system of linear fuzzy differential equations, a more general system of linear fuzzy differential equations is then proposed and the solution of this system is also given. An illustrative examples are given in order to consolidate the raised ideals.
