The multidimensional inverse Laplace transform of a function is given by a contour integral of the form . The integral is computed using numerical methods if the third argument, , is given a numerical value. The asymptotic inverse Laplace transform can be computed using Asymptotic. The following options can be given:
Laplace transforms are typically used to transform differential and partial differential equations to algebraic equations, solve and then inverse transform back to a solution. Laplace transforms are also extensively used in control theory and signal processing as a way to represent and manipulate linear systems in the form of transfer functions and transfer matrices.
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Assuming this is not an error, what version of the Laplace transform produces this result? Does the inverse Laplace transform produce the original function?
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