This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.
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# InverseLaplaceTransform

 InverseLaplaceTransformgives the inverse Laplace transform of expr. InverseLaplaceTransformgives the multidimensional inverse Laplace transform of expr.
• The inverse Laplace transform of a function is defined to be , where is an arbitrary positive constant chosen so that the contour of integration lies to the right of all singularities in .
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 Scope   (4)
Rational functions:
Elementary functions:
Special functions:
Multidimensional inverse Laplace transform:
 Applications   (2)
Compute the step response to the linear system with transfer function :
Solve a differential equation using Laplace transforms:
Solve for the Laplace transform:
Find the inverse transform:
Apply initial conditions:
Find the solution directly using DSolve:
InverseLaplaceTransform and LaplaceTransform are mutual inverses:
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