Let f(t) be a function on [0,∞). The Laplace transform of f is the function F defined by the integral F(s) = est (t)dt. Use this definition to determine the 0 Laplace transform of the following function. 11 t, 0
Let f(t) be a function on [0,∞). The Laplace transform of f is the function F defined by the integral F(s) = est (t)dt. Use this definition to determine the 0 Laplace transform of the following function. 11 t, 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Let f(t) be a function on [0,∞). The Laplace transform of f is the function F
defined by the integral F(s) = est f(t)dt. Use this definition to determine the
0
Laplace transform of the following function.
11 t, 0<t<11
f(t) =
0,
11 <t
Set up the integral F(s).
11
F(s) =
e-st (11-t)dt
0
The Laplace transform of f(t) is F(s) =
(Type exact answers.)
for s#0, where F(0) =
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