Laplace transform list of properties
Submitted by Structure on Sat, 12/08/2007 - 14:21.
Consider the Laplace transform of a original function f.
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We give some useful property if this transform.
Change of scale.
Let then g(t)=f(at) is function which admits Laplace transform and
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Multiply by exponential
Let then
has Laplace transform
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Product with t variable.
If f is an original function, then for
and
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Laplace transform for derivative
If f and f' are original function then
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Where
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If higher order derivatives exists and are originals,
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Convolution of originals.
Let f,g be original function.
Then
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is an original and
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Let f be a periodic function of period T >0, which take value zero on the negative real axis.
Suppose that
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is integrable.
Then Laplace transform of f
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