The study of flow and heat transfer of a magnetohydrodynamic viscous fluid-saturated porous medium, past a permeable and non-isothermal stretching sheet with internal heat generation or absorption and radiation is analyzed. Closed-form solutions to the full Darcy-Brinkman equations, without applying to boundary layer approximations, are found using a similarity transformation. We propose to find closed-form solutions for temperature corresponding to the thermal conditions, which are quadratic function of the distance from the origin. The temperature functions for heating conditions are given in terms of Kummer’s functions. Asymptotic expressions of the temperature functions are also presented valid for both large and small modified Prandtl numbers. The effect of viscosity ratio, suction parameter, porous parameter is studied.