Tabela de Transformadas de Laplace

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Tabela de Transformadas de Laplace
y(t) Y(s)
δ(t) 1
u(t)
1
s
tn−1
(n− 1)!
1
sn
tn
n!
sn+1
tne−at
n!
(s+ a)n+1
tn−1e−at
(n− 1)!
1
(s+ a)n
sen(at)
a
s2 + a2
cos(at)
s
s2 + a2
senh(at)
a
s2 − a2
cosh(at)
s
s2 − a2
e−atsen(ωt)
ω
(s+ a)2 + ω2
e−atcos(ωt)
s+ a
(s+ a)2 + ω2
dnf
dtn
snF (s)− sn−1f(0+)− sn−2f ′(0+)− · · · − fn−1(0+)∫ t
0
f(τ)dτ F (s)/s
f(t− t0)u(t− t0) e−t0sF (s)
e−atf(t) F (s+ a)
f(0+) = lim
t→0 f(t) lims→∞ sF (s)
f(∞) = lim
t→∞ f(t) lims→0 sF (s)
f(t− T ) exp−sT F (s)
1