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BUILT-IN MATHEMATICA SYMBOL
LaplaceTransform
LaplaceTransform[expr, t, s]
gives the Laplace transform of expr.
LaplaceTransform[expr, {t1, t2, ...}, {s1, s2, ...}]
gives the multidimensional Laplace transform of expr.
Details and Options
- The Laplace transform of a function
is defined to be 
. - The lower limit of the integral is effectively taken to be
, so that the Laplace transform of the Dirac delta function 
is equal to 1. » - Assumptions and other options to Integrate can also be given in LaplaceTransform. »
- In TraditionalForm, LaplaceTransform is output using
. »
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