Tablica Laplasovih transformacija

F (s) f(t)1

s1

1

s2t

1

sn, n ∈ N

tn−1

(n − 1)!1

sn, n > 0

tn−1

Γ(n)1

s − aeat

1

(s − a)n, n ∈ N

tn−1eat

(n − 1)!1

(s − a)n, n > 0

tn−1eat

Γ(n)1

s2 + a2

sin at

as

s2 + a2cos at

1

(s − b)2 + a2

ebt sin at

as − b

(s − b)2 + a2ebt cos at

1

s2− a2

sinh at

as

s2− a2

cosh at

1

(s − b)2− a2

ebt sinh at

as − b

(s − b)2− a2

ebt cosh at