tablas laplace
DESCRIPTION
TablasTRANSCRIPT
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PAREJAS DE TRANSFORMADAS DE LAPLACE
() () 01 Impulso unitario () 1 02 Escaln unitario 1() 1
03 12
04 1(1)! (n = 1, 2, 3, ) 1 05 (n = 1, 2, 3, ) !
+1 06 1
+ 07 1( + )2 08 1(1)! 1 (n = 1, 2, 3, ) 1( + ) 09 (n = 1, 2, 3, ) !( + )+1 10
2 + 2 11 cos
2 + 2 12
2 2 13 cosh
2 2 14 1
(1 ) 1
( + ) 15 1
( ) 1( + )( + )
16 1
( ) ( + )( + ) 17 1
1 + 1
( ) 1
( + )( + ) 18 1
2 (1 ) 1 ( + )2 19 1
2 ( 1 + ) 12( + )
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20 ( + )2 + 2 21 cos + ( + )2 + 2 22
12 1 2 (0 < < 1) 22 + 2 + 2
23
1 2 1 2 + = 1 1 2
(0 < < 1, 0 < < /2)
2 + 2 + 2 24 1 1
1 2 1 2 + = 1 1 2
(0 < < 1, 0 < < /2)
2
(2 + 2 + 2) 25 1 cos 2
(2 + 2) 26 3
2(2 + 2) 27 cos 23(2 + 2)2 28 12 (2 + 2)2 29 2 2(2 + 2)2 30 1
2212 (cos1 cos2) (12 22) (2 + 12)(2 + 22) 31 12 ( + cos) 2(2 + 2)2
PROPIEDADES DE LA TRANSFORMADA DE LAPLACE
01 [()] = () 02 [1() 2()] = 1() 2() 03
() = () (0 )
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04 22 () = 2() (0 ) (0 )
05 () = () (0 )(1)
=1 ()(1) = 11 () 06
() = () + 1 ()=0 07
()() = () + 1+1 ()()=0=1 08
()0 = () 09
() = () () 000 10 [ ()] = ( + ) 11 [()1()] = () 0 12
[()] = ()
13
[2()] = 22 ()
14 [()] = (1)
() ( = 1, 2, 3, )
15
1() = () 1
()
0
16
1 = ()
17 1( )2()0 = 1()2()
18 [()()] = 12 ()( )+