Transformaty Laplace’a wybranych funkcji elementarnych:
Oryginał /(/,) |
Transformata F(s) |
1 |
1 s |
t |
1 s2 |
m |
n! |
t |
$n +■ i |
eat |
i S — CL |
teat |
1 (, - a)2 |
1 n pat, |
n! (s- a)n_l 1 |
sin at |
a s2 + |
cos at |
s s2 + 2 |
t sin ai |
2 as (s2 + a2)2 |
i cos at |
s2 - a2 (s2 + a2)2 |
ebt sin at |
a \s - 6)2 + a2 |
cbf COS (li |
,S' - (s — fc)2 + a2 |