InverseLaplaceTransform

InverseLaplaceTransform[expr,s,t]

gives the inverse Laplace transform of expr.

InverseLaplaceTransform[expr,{s1,s2,…},{t1,t2,…}]

gives the multidimensional inverse Laplace transform of expr.

Details

  • The inverse Laplace transform of a function is defined to be , where γ is an arbitrary positive constant chosen so that the contour of integration lies to the right of all singularities in .
  • In TraditionalForm, InverseLaplaceTransform is output using ℒ-1. »

Examples

open all close all

Basic Examples  (2)

In[1]:=
Click for copyable input
Out[1]=
In[2]:=
Click for copyable input
Out[2]=
In[3]:=
Click for copyable input
Out[3]=
In[1]:=
Click for copyable input
Out[1]=
In[2]:=
Click for copyable input
Out[2]=

Scope  (4)

Generalizations & Extensions  (1)

Applications  (2)

Properties & Relations  (1)

Possible Issues  (1)

Neat Examples  (1)

Introduced in 1999
(4.0)