Comment #3 on issue 1562 by asmeurer: Have trigsimp apply factor and  
Poly.cancel() to sin's and cos's
http://code.google.com/p/sympy/issues/detail?id=1562

OK.  As it stands, this is not impeding the coding on my project directly.   
dsolve() will just be unable to apply
variation of parameters to that equation, but I have it applying simplify()  
and trigsimp() to the wronskian, so
whenever they are improved, dsolve() will be improved as well.  Also, I am  
going to implement undetermined
coefficients, so the most common linear differential equations will not  
need to use variation of parameters.

The one polynomial issue that is a bit of a show stopper for me is issue  
1563.  I would like for dsolve() to
return RootOf's whenever the the roots of the characteristic equation of a  
linear differential equation with
constant coefficients cannot be solved explicitly, but it is failing  
because I have code that runs has() on the
solution and Poly().has() fails.  See that issue.

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