  Motivated by recent proposals of correlation induced insensitivity of d-wave
superconductors to impurities, we develop a simple pairing theory for these
systems for up to a moderate strength of disorder. Our description implements
the key ideas of Anderson, originally proposed for disordered s-wave
superconductors, but in addition takes care of the inherent strong electronic
repulsion in these compounds, as well as disorder induced inhomogeneities. We
first obtain the self-consistent one-particle states, that capture the effects
of disorder exactly, and strong correlations using Gutzwiller approximation.
These `normal states', representing the interplay of strong correlations and
disorder, when coupled through pairing attractions following the path of
Bardeen-Cooper-Schrieffer (BCS), produce results nearly identical to those from
a more sophisticated Gutzwiller augmented Bogoliubov-de Gennes analysis.
