Parametric solution of certain nonlinear differential equations in cosmology

We obtain in terms of the Weierstrass elliptic $\mathrm{\wp }-$function, sigma function, and zeta function an explicit parametrized solution of a particular nonlinear, ordinary differential equation. This equation includes, in special cases, equations that occur in the study of both homogeneous and inhomogeneous cosmological models, and also in the dynamic Bose-Einstein condensates - cosmology correspondence, for example.