  In this work, we provide some simple analytical solutions to the
Wheeler-DeWitt equation for the minisuperspace applied to de Broglie-Bohmian
quantum cosmology for particular potentials of a scalar matter field $\phi$.
One solution describes a constantly rolling scalar field with a quadratic
potential plus a negative cosmological constant. The scale factor is given by a
Gaussian function. The other solution describes a flat Minkowski universe with
the potential of a hilltop form.
