The　current　study　aims　to　probe　the　impacts　of　entropy　in　a　hydromagnetic　unsteady　slip　flow　of　viscous　fluid　past　an　exponentially　stretching　sheet.　Appurtenant　similarity　variables　are　employed　to　transmute　the　governing　partial　differential　equations　into　a　system　of　non-linear　differential　equations,　which　are　analytically　solved　by　utilizing　the　homotopy　analysis　method　(HAM).　Moreover,　a　shooting　technique　with　fourth-fifth　order　Runge-Kutta　method　is　deployed　to　numerically　solve　the　problem.　The　impact　of　the　physical　parameters　that　influence　the　flow　and　heat　transmission　phenomena　are　sketched,　tabulated　and　discussed　briefly.　Additionally,　the　impact　of　these　parameters　on　entropy　generation　is　thoroughly　discussed　by　plotting　graphs　of　the　local　entropy　generation　number　and　the　Bejan　number.