Comment #3 on issue 2671 by smi...@gmail.com: constantsimp() isn't working for dsolve(w(t).diff(t, 6) - k**6*w(t), w(t))
http://code.google.com/p/sympy/issues/detail?id=2671
Interesting issue...if you make as_independent unconditionally strict (issue 2685) by default, this equation fails to solve. I haven't pursued this to see why.
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