We investigate Brans-Dicke cosmology with perfect-fluid matter and giv
e a method for selecting exact solutions parametrized hy the constant
gamma of the state equation p = (gamma - 1)rho and the parameter xi of
the nonminimal coupling in which the Brans-Dicke theory can be recast
. In this sense, we can classify the solutions having and not having i
nflationary behavior in the presence of ordinary matter.