  The scalar field degree of freedom in Einstein's plus Matter field equations
is decoupled for Bianchi type I and V general cosmological models. The source,
apart from the minimally coupled scalar field with arbitrary potential V(Phi),
is provided by a perfect fluid obeying a general equation of state p =p(rho).
The resulting ODE is, by an appropriate choice of final time gauge affiliated
to the scalar field, reduced to 1st order, and then the system is completely
integrated for arbitrary choices of the potential and the equation of state.
