We study the general form of the equations for isotropic single-scaler
, multi-scalar and dyonic p-branes in superstring theory and M-theory,
and show that they can be cast into the form of Liouville, Toda (or T
oda-like) equations. The general solutions describe non-extremal isotr
opic p-branes, reducing to the previously-known extremal solutions in
limiting cases. In the non-extremal case, the dilatonic scalar fields
are finite at the outer event horizon.