Find the laplace transform of f(t) = 5t³ - 4t² +8 OF (S) = -8s³ +8s+30 OF (s) 8s³-8s+30 -88³ +88-30 84 -88³-8s²+30 $4 -88³-88² +30s 84 88³ +88-30 88³ +88²-30s 84 OF (s) OF (S) OF (S) OF (S) OF (S) = = = = = =

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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Find the laplace transform of
f (t) = 5t³ − 4t² +8
OF (S) =
-85³ +8s+30
84
OF (s) =
8s³-8s+30
84
OF (S)
-8s³ +88-30
=
84
-88³-8s²+30
$4
-88³-8s² +30s
84
8s³ +88-30
8s³ +88²-30s
OF (s) =
OF (s) =
OF (s)
-
OF (s) =
Transcribed Image Text:Find the laplace transform of f (t) = 5t³ − 4t² +8 OF (S) = -85³ +8s+30 84 OF (s) = 8s³-8s+30 84 OF (S) -8s³ +88-30 = 84 -88³-8s²+30 $4 -88³-8s² +30s 84 8s³ +88-30 8s³ +88²-30s OF (s) = OF (s) = OF (s) - OF (s) =
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