The exact general solution to the Einstein equations is a homogeneous
Universe with a full causal viscous fluid source for the bulk viscosit
y index m = 1/2 is found. We have investigated the asymptotic stabilit
y of Friedmann and de Sitter solutions, the former is stable for m gre
ater than or equal to 1/2 and the latter for m less than or equal to 1
/2. The comparison with results of the truncated theory is made. For m
= 1/2, it was found that families of solutions with extrema no longer
remain in the full case and they are replaced by asymptotically Minko
wski evolutions. These solutions are monotonic.