list is not a complete listing of Laplace transforms and only contains some of the more commonly used Laplace transforms and formulas.
the definition of hyperbolic functions.
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!
#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