laplace(heaviside(t),t,s) doesn't return 1/s

asked 2016-04-20 01:14:14 +0200

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55 ●1 ●5 ●10

var('s')
var('t',domain='positive')
laplace(heaviside(t),t,s)

returns an unevaluated function object in stead of returning 1/s. Other functions such as sin(t) and dirac_delta(t) seem to give the correct results. Is this just a blind spot in laplace, or do I need to refine my domains on s or t?

If this transform just isn't implemented, is there an easy way for me to patch it locally?

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Hmm, could be that we don't return heaviside to Maxima properly, as they may not have it...

kcrisman ( 2016-04-22 04:00:19 +0200 )edit

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answered 2016-04-20 21:21:46 +0200

FrédéricC

5125 ●3 ●43 ●111

Sympy can do that one as follows:

sage: import sympy
sage: hs=H._sympy_()
sage: sympy.laplace_transform(hs,t,s)
(1/s, 0, True)

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Asked: 2016-04-20 01:14:14 +0200

Seen: 370 times

Last updated: Apr 20 '16

laplace(heaviside(t),t,s) doesn't return 1/s edit