Laplace transform list of properties
Consider the Laplace transform of a original function f.
We give some useful property if this transform.
Change of scale.
Let then g(t)=f(at) is function which admits Laplace transform and
Multiply by exponential
has Laplace transform
Product with t variable.
If f is an original function, then for and
Laplace transform for derivative
If f and f' are original function then
If higher order derivatives exists and are originals,
Convolution of originals.
Let f,g be original function.
is an original and
Let f be a periodic function of period T >0, which take value zero on the negative real axis.
Then Laplace transform of f