Comment #3 on issue 3212 by [email protected]: Laplace transform
assertion failure
http://code.google.com/p/sympy/issues/detail?id=3212
I tried to implement the second shift theorem directly in the laplace
transform code.
g = Wild('g')
a = Wild('a')
res = f.match(g*Heaviside(t+a))
if res == None:
F = integrate(exp(-s*t) * f, (t, 0, oo))
else:
f = res[g].replace(t,t-res[a])
F = integrate(exp(-s*t + s*res[a]) * f, (t, 0, oo))
laplace_transform(cos(t-1)*Heaviside(t-1),t,s)
(s*exp(-s)/(s**2 + 1), 0, True)
The results are fine but integral should be able to handle the expression
natively. Hence it is still a bug.
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