In [63] the standard form of a system of linear PDEs is used as the
basis of an algorithm to recursively solve systems of linear PDEs in their coefficient field
by decoupling and solving ``ODEs''. As an application of this
algorithm we show that:
*If the solution space
of a system of linear PDEs is finite-dimensional and the coefficients of the
system are all rational functions of the system's independent
variables, then all rational function solutions of
the system can be determined.*

Greg Reid 2003-11-24