nd the Laplace Transform of f(t) = t³ if 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Some Diff Eqns help, one and two please
Given a mass-spring-dashpot system
with
m = 1, k = 9, c = 0
and forcing function
{
sin t if 0<t < 2n
f(t) =
0 if 2n < t
If the initial conditions are
x(0) = x'(0) = 0
, find the response,
x(t)
Transcribed Image Text:Given a mass-spring-dashpot system with m = 1, k = 9, c = 0 and forcing function { sin t if 0<t < 2n f(t) = 0 if 2n < t If the initial conditions are x(0) = x'(0) = 0 , find the response, x(t)
Find the Laplace Transform of
f(t) = 1³
if
1<t<2
, and
f(t) = 0
otherwise.
Transcribed Image Text:Find the Laplace Transform of f(t) = 1³ if 1<t<2 , and f(t) = 0 otherwise.
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