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InverseLaplaceTransform

gives the inverse Laplace transform of expr.

gives 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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Rational functions:

Elementary functions:

Special functions:

Multidimensional inverse Laplace transform:

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: