SYM_DE is the
Equations package developed
by Stanley Steinberg from the University of New Mexico using the
Macsyma system. It comes with Macsyma in the share library.
The programs in this package compute the infinitesimal symmetries of a system of ordinary or partial differential equations. For simple equations, the computation is automatic; complicated equations may require some user intervention. The theory and applications of infinitesimal symmetries are described in the references given below. The easiest way to learn to use this package is to copy one of the demo files (described below) to your personal directory and then modify it to do your problem.
The solution procedure has four main steps: