  We evaluate the no-boundary path integral exactly in a Bianchi IX
minisuperspace with two scale factors. In this model the no-boundary proposal
can be implemented by requiring one scale factor to be zero initially together
with a judiciously chosen regularity condition on the momentum conjugate to the
second scale factor. Taking into account the non-linear backreaction of the
perturbations we recover the predictions of the original semiclassical
no-boundary proposal. In particular we find that large perturbations are
strongly damped, consistent with vacuum state wave functions.
