Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then the integral L{f(t)} %3D e is said to be the Laplace transform of f, provided that the integral converges. Find L{f(t)}. (Write your answer as a function of s.) S6, 0st< 3 f(t) 10, t 3 L{f(t)} (s > 0) %3D

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
Problem 30EQ
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Use Definition 7.1.1.
DEFINITION 7.1.1
Laplace Transform
Let f be a function defined for t 2 0. Then the integral
00
L{f(t)} =
| e-strct) dt
is said to be the Laplace transform of f, provided that the integral converges.
Find L{f(t)}. (Write your answer as a function of s.)
S6, 0st< 3
f(t) :
S6,
%3D
10,
t 3
L{F(t)}
(s > 0)
Transcribed Image Text:Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then the integral 00 L{f(t)} = | e-strct) dt is said to be the Laplace transform of f, provided that the integral converges. Find L{f(t)}. (Write your answer as a function of s.) S6, 0st< 3 f(t) : S6, %3D 10, t 3 L{F(t)} (s > 0)
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