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Tabela de Transformadas de Laplace f(t) F(s)= L {f(t)}= 1 1 2 tn ( n=1,2,...) 3 tp ( p>-1) 4 eat 5 eattn ( n=1,2,...) 6 sin bt 7 cos bt 8 sinh bt 9 cosh bt 10 eatsin bt 11 eatcos bt 12 u (t - c) 13 u(t - c)f( t- c) 14 t sin at 15 t cos at 16 sin at – at cos at 17 sin at + at cos at 18 F(s)G(s) 19 e-cs 20 21 tnf(t) 22 f(t+T)=f(t) PROPRIEDADES Transformada de Laplace Transformada Inversa de Laplace L {f +g}=L {f} + L {g} L -1{F +G}=L -1{F} + L -1{G} L {cf } = cL {f} L --1{cF }= cL -1{F} L {f ’}= sL {f}- f(0) L –1{F(s)}= L {f ’’}= s2L {f}- sf(0) – f ’(0) L –1 = L {f (n)}= snL {f} - sn-1f(0) - sn-2f’(0) - ... - f(n-1)(0) L -1 (F(s - a)) = eatf(t) L {eatf(t)}=F(s - a) L L L L {f}L {g} L L Fonte: Stanley Farlow ,“An Introdution to Differential Equations and their Applications”, Mc Graw-Hill _1099675855.unknown _1099676196.unknown _1099676595.unknown _1099727983.unknown _1099728087.unknown _1099728245.unknown _1099837949.unknown _1099728088.unknown _1099727991.unknown _1099728086.unknown _1099727986.unknown _1099727941.unknown _1099727969.unknown _1099676763.unknown _1099676426.unknown _1099676487.unknown _1099676225.unknown _1099676021.unknown _1099676091.unknown _1099676148.unknown _1099676060.unknown _1099675887.unknown _1099675970.unknown _1099675876.unknown _1099675334.unknown _1099675790.unknown _1099675834.unknown _1099675659.unknown _1099675710.unknown _1099675726.unknown _1099675390.unknown _1099675144.unknown _1099675299.unknown _1099675064.unknown
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