Tablas de transformadas de Laplace
Páginas: 3 (589 palabras)
Publicado: 23 de agosto de 2015
162
TRANSFORMADAS
DE
+
+
32.3
f
32.4
a
F(at)
F(t)
F ( t - a )
=
32.6
32.7
32.8
f
F”(t)
32.9
.
(0)
-t
32.11
F(t)
F(t)
B2.12
12.13
12.14
F(t)
f o
F(u)
F(u)
( n - l ) !G(t
u)
TRANSFORMADAS DE
163
f
1
1
F(t) =
F(u) du
-
+
F(u)
F(u)
0
+
)
+1
1
0
f(u)
du
polinomio de grado inferior
= (6
donde
. . . ,
(6
todas distintas.
TRANSFORMADAS
164
DE1
32.25
32.26
1
32.27
1
32.28
1
32.29
1
32.30
1
t
n =
n=
(8
. .,
32.31
1
+
32.32
sen at
a
32.33
+
sen at
a
32.34
(8
32.35
s - b
32.36
1
at
at
a
32.37
32.38
8
at
senhata
TRANSFORMADAS DE
32.39
32.40
165
8 - b
1
b)
b - a
b)
b - a
32.41
32.42
1
+
senat
at
at
t sen at
32.43
+
2 a
+
32.44
rtcosat
2a
32.45
coa at
+
32.46
sen at
t
+
at32.47
t
32.49
senhat +
32.50
at +
+
senhat
t
(3
32.52
senhat
at
32.48
32.51
at
at
at
at
sen at
at
t sen
32.53
(1 +
32.54
at
sen at
sen at +
32.55
+
at
at
at
TRANSFORMADASDE
166
(3
sen at +
CO6 at
+
B2.57
(8
+
at
8
12.58
+
2a
+
CO6
32.59
sen at
+
32.60
coa
+
at
sen
32.61
24a
(3 +
1
32.61
3at cosh at
cosh
32.63
32.64
1)
+
3t
32.66
32.6432.61
+
8a
at
a t
(3 +
senh
(8 +
cosh at +
8a
+
cosh
8
senh
2a
+
32.61
32.6%
- -
cosh
+
+
a t
32.71
+ ab
24a
1
+
CO6
+
2
TRANSFORMADAS DE
1
32.74
32.75
1
32.76
8
32.77
--
32.78
32.81
e- & +
1
2
at
+
2
at
sen at
at senh at)
sen at senhat
32.79
32.80
167
senat
+
at senh at)
at +
at
+
32.82
32.83
at)
32.84
senat)
32.85
at
32.86
32.87
132.88
32.89
1
at)
TRANSFORMADAS DE
168
32.90
32.91
32.92
(at)
32.93
>
(at)
32.94
)
32.95
0
32.96
1
+
32.97
a
8
32.98
+
32.99
1
a
32.100
32.101
32.102
+
1
F(t) =
+ 1,
t
=0,
. ..
Véase además 32.165.
32.103
1
=
máximo entero
donde
32.104
1
1- r e - * )
Véase además 32.167.
=
t
<
+ 1,
=
. ..
TRANSFORMADAS DE
169
32.106
t
a
32.107
32.108
32.109
a...
TRANSFORMADAS
DE
+
+
32.3
f
32.4
a
F(at)
F(t)
F ( t - a )
=
32.6
32.7
32.8
f
F”(t)
32.9
.
(0)
-t
32.11
F(t)
F(t)
B2.12
12.13
12.14
F(t)
f o
F(u)
F(u)
( n - l ) !G(t
u)
TRANSFORMADAS DE
163
f
1
1
F(t) =
F(u) du
-
+
F(u)
F(u)
0
+
)
+1
1
0
f(u)
du
polinomio de grado inferior
= (6
donde
. . . ,
(6
todas distintas.
TRANSFORMADAS
164
DE1
32.25
32.26
1
32.27
1
32.28
1
32.29
1
32.30
1
t
n =
n=
(8
. .,
32.31
1
+
32.32
sen at
a
32.33
+
sen at
a
32.34
(8
32.35
s - b
32.36
1
at
at
a
32.37
32.38
8
at
senhata
TRANSFORMADAS DE
32.39
32.40
165
8 - b
1
b)
b - a
b)
b - a
32.41
32.42
1
+
senat
at
at
t sen at
32.43
+
2 a
+
32.44
rtcosat
2a
32.45
coa at
+
32.46
sen at
t
+
at32.47
t
32.49
senhat +
32.50
at +
+
senhat
t
(3
32.52
senhat
at
32.48
32.51
at
at
at
at
sen at
at
t sen
32.53
(1 +
32.54
at
sen at
sen at +
32.55
+
at
at
at
TRANSFORMADASDE
166
(3
sen at +
CO6 at
+
B2.57
(8
+
at
8
12.58
+
2a
+
CO6
32.59
sen at
+
32.60
coa
+
at
sen
32.61
24a
(3 +
1
32.61
3at cosh at
cosh
32.63
32.64
1)
+
3t
32.66
32.6432.61
+
8a
at
a t
(3 +
senh
(8 +
cosh at +
8a
+
cosh
8
senh
2a
+
32.61
32.6%
- -
cosh
+
+
a t
32.71
+ ab
24a
1
+
CO6
+
2
TRANSFORMADAS DE
1
32.74
32.75
1
32.76
8
32.77
--
32.78
32.81
e- & +
1
2
at
+
2
at
sen at
at senh at)
sen at senhat
32.79
32.80
167
senat
+
at senh at)
at +
at
+
32.82
32.83
at)
32.84
senat)
32.85
at
32.86
32.87
132.88
32.89
1
at)
TRANSFORMADAS DE
168
32.90
32.91
32.92
(at)
32.93
>
(at)
32.94
)
32.95
0
32.96
1
+
32.97
a
8
32.98
+
32.99
1
a
32.100
32.101
32.102
+
1
F(t) =
+ 1,
t
=0,
. ..
Véase además 32.165.
32.103
1
=
máximo entero
donde
32.104
1
1- r e - * )
Véase además 32.167.
=
t
<
+ 1,
=
. ..
TRANSFORMADAS DE
169
32.106
t
a
32.107
32.108
32.109
a...
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