Find the Laplace of f(t) = (t− 2)(t+2)e-³t
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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Question
![Find the Laplace of
f(t) = (t-2)(t+2)e-³t](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F95aeff90-eae1-41d1-a6d5-24c543733ee7%2F167c9d04-faa6-4480-8174-35c687e4ef8d%2Fl35b1i_processed.png&w=3840&q=75)
Transcribed Image Text:Find the Laplace of
f(t) = (t-2)(t+2)e-³t
![Laplace table:
F(s) = L[f(t)]
n!/sn+1
F(s-a)
a/(s² + a²)
cos at
s/(s² + a²)
y' (t)
SY(s) - y(0)
y"(t)| s²Y(s) — sy(0) — y'(0)
-
f(t)
tn
eat f(t)
sin at](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F95aeff90-eae1-41d1-a6d5-24c543733ee7%2F167c9d04-faa6-4480-8174-35c687e4ef8d%2Fzatb1e_processed.png&w=3840&q=75)
Transcribed Image Text:Laplace table:
F(s) = L[f(t)]
n!/sn+1
F(s-a)
a/(s² + a²)
cos at
s/(s² + a²)
y' (t)
SY(s) - y(0)
y"(t)| s²Y(s) — sy(0) — y'(0)
-
f(t)
tn
eat f(t)
sin at
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