  This work is concerned with branes and differential equations for
one-parameter Calabi-Yau hypersurfaces in weighted projective spaces. For a
certain class of B-branes we derive the inhomogeneous Picard--Fuchs equations
satisfied by the brane superpotential. In this way we arrive at a prediction
for the real BPS invariants for holomorphic maps of worldsheets with low Euler
characteristics, ending on the mirror A-branes.
