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Q2 - Laplace Transforms

Introduction The laplace transform method maps out an equation from it's original domain onto a new domain, making it easier to solve. Once solved, the equation can be transformed back to it's original format.

Forward Laplace Transforms

In practice, tables of known results are used when working with techniques or applications of laplace transforms.

Laplace transforms are linear. The Laplace transform of a linear combination of functions is equal to the same linear combination of Laplace transforms of each function.

The Laplace transform of a function f(t) is denoted F(s) and is defined by:

Laplace transforms of derivatives