Tabela de Transformadas de Laplace e Propriedades

Tabela 21 Pares de Transformadas de Laplace Continuação 1a²1 eat ateat 1a²at 1 eat eatsenωt eatcosωt ωn1 ξ² eξωn tsenωn1 ξ²t 11 ξ²eξωntsenωn1 ξ²t φ φ tan¹1 ξ²ξ 1 11 ξ²eξωntsenωn1 ξ²t φ φ tan¹1 ξ²ξ 1 cosωt ωt senωt senωt ωt cosωt 12ωsenωt t cosωt 1ω²1ω²cosωt cosαt ω² ω² 12ωsenωt ωt cosωt 1s² ω² tabela 22 Propriedades das Transformadas de Laplace 𝓛Aft AFs 𝓛ft₁ ft₂ F₁s F₂s 𝓛ft sFs f0 𝓛d²fdt² s²Fs sf0 f0 𝓛d²fdt² sRFs 𝓛ft Fs k0 k1 1kdkdtkf0 𝓛ft dt Fss ft dt lima0 Fs 𝓛eatft easFs 𝓛t aft a easFs 𝓛ft 1ndndtnFs 𝓛ftdt Fsds 1 Impulso unitário δt ft 1 2 Degrau unitário 1t Fs 1s 3 t Fs 1s² 4 tn1 n 1 2 3 Fs 1sn 5 tn n 1 2 3 Fs nsn1 6 eat Fs 1s a 7 teat Fs 1s a² 8 1n 1tneat n 1 2 3 Fs 1s an1 9 tn eat n 1 2 3 Fs ns an 1 10 senωt Fs ωs² ω² 11 cosωt Fs ss² ω² 12 senhωt Fs ωs² ω² 13 coshωt Fs ss² ω² 14 1a1 eat Fs 1ss a 15 1b aeat ebt Fs 1ss as b 16 1b aebt aeat Fs sss as b 17 1ab 1a bbeat aebt Fs sss as b Fs 𝓛ft ftestdt