Solution of Variable Coefficient Fuzzy Differential Equations by Fuzzy Laplace Transform Komal R.Patel Narendrasinh B.Desai Assistant Professor Institute of Technology and Management Universe Vadodara-390510,Gujarat(INDIA) Associate Professor Head of Department of Applied Sciences and Humanities A. D. Patel Institute of Technology V. V. Nagar-388121,Gujarat(INDIA) Email:komalpatel2121982@gmail.com drnbdesai@yahoo.co.in Abstract In this paper we propose a fuzzy Laplace transform to solve variable coefficient fuzzy differential equations under strongly generalized differ- entiability concept.The fuzzy Laplace transform of derivative was used to solve second order variable coefficient fuzzy initial value problems and fuzzy boundary value problems if t is multiplied with first or second deriva- tive term.To illustrate applicability of proposed method we solve fuzzy differential equations using different types of fuzzy numbers i.e. triangu- lar,trapezoidal,Gaussian etc and compare the solutions.We plot 3D plots for different values of r-level sets by mathematica software. Keywords:Fuzzy Number.Fuzzy valued function.triangular,trapezoidal and Gaus- sian fuzzy numbers.Fuzzy Laplace Transform.Strongly generalized differential.Fuzzy initial value problem.Fuzzy boundary value problem.. 1 Introduction The fuzzy differential equation is very much important topic in field of science and engineering to solve dynamic problem.The concept of a fuzzy derivative was first introduced by Chang and Zadeh [56],followed up by Dubois and Prade 1 International Journal on Recent and Innovation Trends in Computing and Communication ISSN: 2321-8169 Volume: 5 Issue: 6 927 – 942 _____________________________________________________________________________________________________________________ 927 IJRITCC | June 2017, Available @ http://www.ijritcc.org __________________________________________________________________________________________________________________