  Making an ansatz to the wave function, the exact solutions of the $D$%
-dimensional radial Schrodinger equation with some molecular potentials like
pseudoharmonic and modified Kratzer potentials are obtained. The restriction on
the parameters of the given potential, $\delta $ and $\eta $ are also given,
where $\eta $ depends on a linear combination of the angular momentum quantum
number $\ell $ and the spatial dimensions $D$ and $\delta $ is a parameter in
the ansatz to the wave function. On inserting D=3, we find that the bound state
eigensolutions recover their standard analytical forms in literature.
