  When the electron density is a linear function of distance, it is known that
the MSW equations for two neutrino species can be solved in terms of known
functions. It is shown here that more generally, for any number of neutrino
species, these MSW equations can be solved exactly in terms of single
integrals. While these integrals cannot be expressed in terms of known
functions, some of their simple properties are obtained. Application to the
solar neutrino problem is briefly discussed.
