The homogeneous and isotropic Brans-Dicke cosmological solutions satis
fying Whitrow-Randall's relation which have been discussed recently by
Berman and Som are re-examined. After correcting an error in their wo
rk, we extend their results and present the most general solution by s
olving a differential equation completely. We show that Mach's assumpt
ion leads to power-law solutions in the Euclidean case.