Propriedades das Transformadas de Laplace

Table 22 Properties of Laplace Transforms mathcalLA ft A mathcalLft mathcalLf1t pm f2t mathcalLf1t pm mathcalLf2t mathcalLleft fracddt ft right s Fs f0 mathcalLleft fracd2dt2 ft right s2 Fs s f0 f0 mathcalLleft fracdndtn ft right sn Fs sumk0n1 sn1k fk0 extwhere fk1t fracdk1dtk1 ft mathcalLleft int0t f au d au right fracFss frac1s int0t f au d au bigg0t mathcalLleft int0t ft dt right fracFss int0t f0 dt limt o 0 Fs ext if int0t ft dt ext exists mathcalLeat ft Fs a mathcalLft a ut a eas Fs quad a geq 0 mathcalLft fracdFsds mathcalLft fracd2ds2 Fs mathcalLfnt 1n fracdndsn Fs quad n 1 2 3 ldots mathcalLleft int0t ft dt right int0infty Fs ds ext if limt o 0 ft ext exists mathcalLleft frac1s right a Fas mathcalLleft int0t t au f au d au right F1s F2s mathcalLft frac12pi j intc jinftyc jinfty Fp Gs p dp