Tablica Laplasovih transformacija - University of Novi...

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Tablica Laplasovih transformacija F (s) f (t) 1 s 1 1 s 2 t 1 s n , n N t n-1 (n - 1)! 1 s n , n> 0 t n-1 Γ(n) 1 s - a e at 1 (s - a) n , n N t n-1 e at (n - 1)! 1 (s - a) n ,n> 0 t n-1 e at Γ(n) 1 s 2 + a 2 sin at a s s 2 + a 2 cos at 1 (s - b) 2 + a 2 e bt sin at a s - b (s - b) 2 + a 2 e bt cos at 1 s 2 - a 2 sinh at a s s 2 - a 2 cosh at 1 (s - b) 2 - a 2 e bt sinh at a s - b (s - b) 2 - a 2 e bt cosh at

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Page 1: Tablica Laplasovih transformacija - University of Novi Sadimft.ftn.uns.ac.rs/~mila/TablicaLaplasovihTransformacija.pdf · Tablica Laplasovih transformacija F(s) f(t) 1 s 1 1 s2 t

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