Post on 10-Jul-2016
description
L {f ( t ) }=∫0
∞
e− st f ( t )dt=F (s ), t>0
silaintegral converge , entonces latransformadaexiste
La transformada es una transformación lineal:
L {af ( t )+bg ( t ) }=a L {f ( t ) }+b L {g (t)} , a , b constantes .
Convolucion:
f∗g=g∗f=∫0
t
f (u )g ( t−u )du=¿ L−1 {L {f }×L {g }}¿
En un caso particular:
µ (t )=∫0
t 1mω0
e−ξωnt sen ( t−u ) p (u ) du
µ (t )=L {sen (t )∗p(t) }
µ (t )= 1mω0
e−ξωn tL−1
{(L {(sen ( t ))}×L { p ( t ) })}