Tabela Transformadas Laplace

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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
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