Tabela: Transformada de Laplace
1
1
s
eat
1
s−a
tn
n!
sn+1
senat
a
s2 + a 2
cos at
s
s2 + a 2
senh at
cosh at
a
s2 − a 2
s
s2 − a 2
eat senbt
b
(s − a)2 + b2
eat cos bt
s−a
(s − a)2 + b2
tn eat
n!
(s − a)n+1
Uc (t)
e−cs
s
Uc (t)f (t − c)
e−cs F (s)
ect f (t)
F (s − c)
f (ct)
1 s
F
c
c
Z t
f (t − τ )g(τ )dτ
F (s)G(s)
0
δ(t − c)
e−cs
f (n) (t)
sn F (s) − s(n−1) f (0) − . . . − f (n−1) (0)
(−t)n f (t)
F (n) (s)