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Laplace Transform | Shifting theorem
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#First #shifting #theorem of Laplace transforms
The first shifting theorem provides a convenient way of calculating the Laplace transform of functions that are of the form
f(t) := e-atg(t)
where a is a constant and g is a given function.
ζ{e-atg(t)} = F(s-a)
To obtain F(s-a), you need to take the laplace transform of g(x) then you replace s with (s-a) to obtain the laplace transform of ζ{e-atg(t)}
The first shifting theorem provides a convenient way of calculating the Laplace transform of functions that are of the form
f(t) := e-atg(t)
where a is a constant and g is a given function.
ζ{e-atg(t)} = F(s-a)
To obtain F(s-a), you need to take the laplace transform of g(x) then you replace s with (s-a) to obtain the laplace transform of ζ{e-atg(t)}
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