Francois,
In mupad it appears that solve returns a piecewise result which is impressive.
What happens if you continue to compute with this result? If you save the
piecewise result in a variable can you multiply it by another piecewise
result? Do they give all nine possible branches? Do they combine branches?
Axiom simply returns
1
[x= -----]
a - 1
which ignores the issue entirely (a bad pun on "entire functions").
t
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