We consider the Einstein equations for a Bianchi type I geometry, modi
fied by first-order semiclassical quantum corrections. Using reduction
techniques developed by Parker and Simon, we simplify these equations
, obtaining reduced forms containing only first and second derivatives
. We then find analytical solutions for both the vacuum case and for t
he case of a perfect fluid with a stiff equation of state. In the vacu
um case we find that the Kasner solution maintains the same form in bo
th the classical and semiclassical regimes. In the matter-filled case
we observe, however, that a qualitatively different behavior emerges i
n the semiclassical era. We comment on the nature of these differences
.