Status: Accepted
Owner: asmeurer
Labels: Type-Defect Priority-Medium Solvers
New issue 2671 by asmeurer: 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
In [100]: k = Symbol("k", real=True)
In [101]: w = Function('w')
In [102]: print dsolve(w(t).diff(t, 6) - k**6*w(t), w(t))
w(t) == C1*exp(t*Abs(k)) + C6*exp(-t*Abs(k)) +
(C10*sin(t*Abs(sqrt(3)*Abs(k))/2) + C7*cos(sqrt(3)*t*Abs(k)/2) +
C8*cos(sqrt(3)*t*Abs(k)/2) +
C9*sin(t*Abs(sqrt(3)*Abs(k))/2))*exp(-t*Abs(k)/2) +
(C2*cos(sqrt(3)*t*Abs(k)/2) + C3*cos(sqrt(3)*t*Abs(k)/2) +
C4*sin(t*Abs(sqrt(3)*Abs(k))/2) +
C5*sin(t*Abs(sqrt(3)*Abs(k))/2))*exp(t*Abs(k)/2)
Some of those terms should have been absorbed into the same constant by
constantsimp() (like C7*cos(sqrt(3)*t*Abs(k)/2) +
C8*cos(sqrt(3)*t*Abs(k)/2)).
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