  In this paper we consider the four dimensional N=2 supergravity theory
arising from the compactification of type IIA string theory on a Calabi-Yau
manifold. We analyse the supersymmetric flow equations for static, spherically
symmetric, single-centered black holes. These flow equations are solved by a
set of algebraic equations involving the holomorphic sections and harmonic
functions. We examine black hole configurations with D0-D4-D6 charge for which
the most general solution of these algebraic equations are considered. Though
the black hole solution is unique for a given value of the charges, we find new
phases of the black hole solutions upon varying them.
