DEFINITION 10.1.1 Let f be a function defined on an interval [0, o0). The Laplace transform of f is the function F(s) defined by F(0) = e"fmdt, (10.1.1) %3D provided that the improper integral converges. We will usually denote the Laplace transform of f by L[f]. f(t) = 1, 0 2.

Advanced Engineering Mathematics
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DEFINITION 10.1.1
Let f be a function defined on an interval [0, o0). The Laplace transform of f is
the function F(s) defined by
F(0) = e"fmdt,
(10.1.1)
%3D
provided that the improper integral converges. We will usually denote the Laplace
transform of f by L[f].
Transcribed Image Text:DEFINITION 10.1.1 Let f be a function defined on an interval [0, o0). The Laplace transform of f is the function F(s) defined by F(0) = e"fmdt, (10.1.1) %3D provided that the improper integral converges. We will usually denote the Laplace transform of f by L[f].
f(t) =
1, 0<t < 2,
-1,
t> 2.
Transcribed Image Text:f(t) = 1, 0<t < 2, -1, t> 2.
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