On Mon, Oct 31, 2011 at 6:37 PM, David Joyner <wdjoyner-Re5JQEeQqe8AvxtiuMwx3w@public.gmane.org
> On Mon, Oct 31, 2011 at 7:31 PM, Aaron Meurer <asmeurer-Re5JQEeQqe8AvxtiuMwx3w@public.gmane.org
>> - "as its beautiful logo" should this be "as is its beautiful logo"?
>> - "However, the most active are..." Maybe rather say "However, the
>> most active as of October 2011 are..." to make it clear that this is a
>> snapshot into this particular point in time. For example, over the
>> summer a different set of developers were most active (i.e., these
>> people plus the GSoC students).
>> - "For example, the following simple Python commands were run from the
>> SymPy command line." I would reword this sentence. It sounds like
>> SymPy has it's own interpreter, and I think it especially would to a
>> user of any other computer algebra system. I'm not sure what the best
>> wording is, but make it clear that SymPy just runs inside a normal
>> Python interpreter, such as the one that comes with Python or IPython.
>> Maybe it would be best to just include a short paragraph about the
>> isympy script, which just paraphrases the docstring from that file.
> revised, as suggested
>> "Surprisingly, it seems Maxima cannot do this at the present time." If
>> I remember correctly, Maxima took the lazy route and only implemented
>> second order differential equations (or maybe they can also do higher
>> order but only if they are homogeneous, I can't remember). The
>> general non-homogeneous case requires either undetermined coefficients
>> (if the non-homogeneous term has the correct form), or, in the general
>> case, the nth order version of variation of parameters, which is not
>> too difficult to implement if you have strong integration routines and
>> knowledge of linear algebra (Cramer's rule), but it seems is so rarely
>> actually taught that I only found two resources anywhere on the
>> internet that dealt with it in the nth case out of the thousands that
>> dealt with the 2nd order case, and neither was very good. I discussed
>> this on my blog back when I implemented it
>> In fact, at the time, I couldn't find another open source system that
>> implemented this, though I would definitely try to verify this fact
>> before putting it in the paper.
> I made revisions but I think Axiom has more functionality that Maxima
> in this area: