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Table of
Laplace Transforms
Table Notes
- This
list is not inclusive and only contains some of the more commonly used Laplace transforms and formulas.
- Recall
the definition of hyperbolic functions.
- Be
careful when using “normal” trig function vs. hyperbolic functions. The only difference in the formulas is
the “+ a2” for the
“normal” trig functions becomes a “- a2”
for the hyperbolic functions!
- Formula
#4 uses the Gamma function which is defined as
If n is a positive integer then,
The Gamma function is an extension
of the normal factorial function. Here
are a couple of quick facts for the Gamma function
