Dissertation (MSc Mathematics)In this dissertation, we generate solutions to Einstein-Maxwell field equations devoted to neutral anisotropic stellar objects using linear equation of state. The field equations are transformed by adopting Bannerji and Durgapal transformation. We generated the solutions to Einstein field equations and obtain matter variables and gravitational potentials by using the general differential equation governing the model. In our model isotropic results are regained as a special case. The plotted graphs and physical analysis show that matter variables and the gravitational potentials are all well behaved. That is, energy density, radial pressure, tangential pressure and gravitational potentials are finite, regular and continuous everywhere inside the stellar objects.