Comment #4 on issue 2180 by asmeurer: examples/advanced/relativity.py stopped working
http://code.google.com/p/sympy/issues/detail?id=2180
Well, ode_order could be modified to call .doit(), though it could also probably be modified to work with nested derivatives without computing them, the second way would probably be better, as it would require less computation.
dsolve() itself should definitely not do such preprocessing, because, although not implemented at the moment, I could easily see some solving method that takes advantage of the "factored" structure of something like D(D(f(x), x) + f(x)/2, x).
Btw, .doit() needs of some kind of hints system so that you can .doit() expand Derivatives but not also expand any Integrals, Sums, or anything else that might be in the expression.
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