  In this paper we present exact solutions of Schrodinger equation (SE) for a
class of non central physical potentials within the formalism of
position-dependent effective mass. The energy eigenvalues and eigenfunctions of
the bound-states for the Schrodinger equation are obtained analytically by
means of asymptotic iteration method (AIM) and easily calculated through a new
generalized decomposition of the effective potential allowing easy separation
of the coordinates. Our results are in excellent agreement with other works in
the literature.
