Tabela de Transformadas de Laplace

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Tabela de Transformadas de Laplace
f(t) F(s)
impulso unita´rio: δ(t) 1
degrau unita´rio 1s
degrau de amplitude A As
exponencial : e−at 1s+a
rampa unita´ria: t 1s2
tn (n = 1,2,3, . . .) n!sn+1
te−at 1(s+a)2
tne−at (n = 1,2,3, . . .) n!(s+a)n+1
t2
2
1
s3
1− e−at as(s+a)
e−at−e−bt
b−a
1
(s+a)(s+b)
be−bt−ae−at
b−a
s
(s+a)(s+b)
1
ab
[
1+ be
−at−ae−bt
a−b
]
1
s(s+a)(s+b)
senωt ωs2+ω2
cosωt ss2+ω2
e−atsenωt ω(s+a)2+ω2
e−atcosωt s+a(s+a)2+ω2
1
a2 (1− e−at − ate−at) 1s(s+a)2
1
a2 (at− 1+ e−at) 1s2(s+a)
1− cosωt ω2s(s2+ω2)
ωt− senωt ω3s2(s2+ω2)
t
2ωsenωt
s
(s2+ω2)2