Tabela de Transformadas de Laplace

Tabela de Transformadas de Laplace

f(t)F(s)= L {f(t)}=

11

2tn ( n=1,2,...)

3tp ( p>-1)

4eat

5eattn ( n=1,2,...)

6sin bt

7cos bt

8sinh bt

9cosh bt

10eatsin bt

11eatcos bt

12u (t - c)

13u(t - c)f( t- c)

14t sin at

15t cos at

16sin at at cos at

17sin at + at cos at

18

F(s)G(s)

19

e-cs

20

21tnf(t)

22f(t+T)=f(t)

PROPRIEDADES

Transformada de LaplaceTransformada 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

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