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

Z

s2

a − a2

s2

s − a2

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

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)