Comment #6 on issue 2238 by asmeurer: Autodetection of dependent variable
in dsolve, checkodesol and other high level function in ODE module
http://code.google.com/p/sympy/issues/detail?id=2238
So the first one should work.
Derivative is the unevaluated version of diff, so it is very much possible
to have such things.
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