### Solutions to Fuzzy Differential Equations using Pentagonal Intuitionistic Fuzzy Numbers

#### Abstract

**This paper proposes a method to solve first order differential equation considering the initial condition as pentagonal intuitionistic fuzzy numbers(PIFNs). We described homogeneous first order ordinary differential equation (ODE) in fuzzy intuitionistic environment. The fuzzy intuitionistic measures both membership and non-membership function which is the main advantage of this paper .The solution is obtained and it is expressed in PIFNs. This is exemplified by two numerical examples. To illustrate the validity of the proposed paper we have solved two Numerical examples and graphs are plotted.**

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