  We study the cosmology of the Brans-Dicke(BD) theory coupled to perfect fluid
type matter. In our previous works, the case where matter is coming from the
Ramond-Ramond sector of the string theory was studied. Here, we study the case
where matter is coming from the NS-NS sector. Exact solutions are found and the
cosmology is classified according to the values of $\gamma$, the parameter of
the equation of state and $\omega$, Brans-Dicke parameter. We find taht, in
string frame, there are solutions without singularity for some ranges of
$\gamma$ and $\omega$. In Einstein frame, however, all solutions are singular.
