Two-sided Laplace Transform - Properties

Properties

It has basically the same properties of the unilateral transform with an important difference

Properties of the unilateral Laplace transform
Time domain unilateral-'s' domain bilateral-'s' domain
Differentiation
Second Differentiation

To use the bilateral transform is equivalent to assume null initial conditions. Therefore it is more suitable than the unilateral for calculating transfer functions from the differential equations, or when looking for an easy particular solution.

Read more about this topic:  Two-sided Laplace Transform

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