Dear Professor Fateman,
Dear Colleagues,
Here is a very detailed demo of the commercial Macsyma capabilities
on solving odes I found in the Internet:
http://archives.math.utk.edu/software/multi-platform/MuPAD/paper/ode-demos/o
de_comp.macsyma
>From the examples in this demo I observe that the ode-related
packages are loaded one after the other, first attempt (after
ODEAUX has been loaded in Macsyma too) with ODE2 (still
present in Maxima), many attempts with additional ode-related
files. This is also clear from the ODE-Maxima Reference Manual
by Mike Clarkson.
domain: complex$
(c5) ode(eq,y(x),x);
/tmp_mnt/share/bia/local/macsyma-419/ode/ode.o being loaded.
/tmp_mnt/share/bia/local/macsyma-419/ode/odeaux.o being loaded.
/tmp_mnt/share/bia/local/macsyma-419/ode/ode2.o being loaded.
/tmp_mnt/share/bia/local/macsyma-419/ode/trans.o being loaded.
/tmp_mnt/share/bia/local/macsyma-419/library1/trgred.o being loaded.
/tmp_mnt/share/bia/local/macsyma-419/share/trigsimp.o being loaded.
/tmp_mnt/share/bia/local/macsyma-419/ode/lapl.o being loaded.
/tmp_mnt/share/bia/local/macsyma-419/ode/odelinsys.o being loaded.
/tmp_mnt/share/bia/local/macsyma-419/library1/laplac.o being loaded.
/tmp_mnt/share/bia/local/macsyma-419/library1/hypgeo.o being loaded.
/tmp_mnt/share/bia/local/macsyma-419/library1/hyp.o being loaded.
/tmp_mnt/share/bia/local/macsyma-419/library1/algsys.o being loaded.
/tmp_mnt/share/bia/local/macsyma-419/library1/grobner.o being loaded.
/tmp_mnt/share/bia/local/macsyma-419/ode/odelin2.o being loaded.
/tmp_mnt/share/bia/local/macsyma-419/ode/odel2pm.o being loaded.
Division by 0
/tmp_mnt/share/bia/local/macsyma-419/ode/sings.o being loaded.
/tmp_mnt/share/bia/local/macsyma-419/ode/hyper.o being loaded.
/tmp_mnt/share/bia/local/macsyma-419/ode/diffac.o being loaded.
/tmp_mnt/share/bia/local/macsyma-419/ode/series.o being loaded.
/tmp_mnt/share/bia/local/macsyma-419/library1/specfn.o being loaded.
/tmp_mnt/share/bia/local/macsyma-419/library1/combin.o being loaded.
/tmp_mnt/share/bia/local/macsyma-419/ode/manyt.o being loaded.
Manyterm relation.
Time= 10839470 msecs
I do not claim that all of these possibilities (and additional possibilities
in other commands of the same demo) should be present in Maxima
(since Macsyma.Inc. made a lot of progress in expanding Macsyma during
1992-1999, not offering of course, source code), but I claim that many
(to be sincere most) of them should be present, more explicitly those
explicitly present in the ODEAUX.MAC file of Maxima even in 5.9.0 rc4.
I make reference to the above internet address so that the power of the ODE
command can become clear in comparison to ODE2. I repeat: few of the
possibilities in this file prepared with the commercial Macsyma do not
concern DOE-Macsyma and, next, Maxima, but most of them do so.
Many most sincere thanks again and best regards.
Nikos