  We study the Seiberg-Witten-Whitham equations in the strong coupling regime
of the N=2 super Yang-Mills theory in the vicinity of the maximal
singularities. In the case of SU(2) the Seiberg-Witten-Whitham equations fix
completely the strong coupling expansion. For higher rank SU(N) they provide a
set of non-trivial constraints on the form of this expansion. As an example, we
study the off-diagonal couplings at the maximal point for which we propose an
ansatz that fulfills all the equations.
