17524 transformaty 2 (2)
330 Integral Eouamons and thetr Applic ations
Tablc B.2: (Conlinued)
|
F(s) |
no | |
|
53. |
a -JL A |
e-l/« _ g-c/fe |
|
(l+osKl+As)’ |
a — b | |
|
54. |
1 |
1 A, • —e "'sin co/ co |
|
s2 + 2 bs + (b2 + io2) | ||
|
55. |
s |
behl — ae“' |
|
(s-a)(s-b)_ |
b — a | |
|
56. |
1 |
sin at — at cos at |
|
(i2 +a2)2 |
2 a* | |
|
57. |
s |
1 sin at |
|
(s2 +a2)2 |
la | |
|
58. |
s2 |
sin at Ą-at cos at |
|
(i2 +a2)2 |
la | |
|
59. |
s3 |
at . cos at — — sin at 2 |
|
{.i2 + a2 )2 | ||
|
60. |
s2-a2 |
t cos at |
|
(s2 + a2)2 | ||
|
61. |
1 |
o/cosli o/ — silili at |
|
(*2 ~ fl2)2_ |
2 a3 | |
|
62. |
s |
t sinh at |
|
(s2 — a2)2 |
2 a | |
|
63. |
s2 |
sinh at + at cosli at |
|
(s2 — a2)2 |
2 a | |
|
64. |
S3 |
. Qt t cosli at 4- — sinh at |
|
(s2 - a2 )2 | ||
|
65. |
s2 + o2 |
tcosh at |
|
(s2 + o2)2 | ||
|
66. |
1 |
(3 — a2/2) sin a/ — 3at cos at |
|
(s2 + o2)3 |
8 a5 | |
|
67. |
s |
/sino/ - at2 cos at |
|
(s2+a2)2 |
8 a3 | |
|
68. |
s2 |
(1 + o2/2)sino/ - a/coso/ |
|
(i2 + a2 )3 |
8o3 | |
|
69. |
J3 |
3/sin o/+ o/2 cos a/ |
|
(s2 + o2)3 |
8a | |
|
70. |
A'4 |
(3 — o2/2) sin at + 5at cos at |
|
(s2 + a2)3 |
8 a |
Table B.2: (Continued)
|
F(s) |
/(O | ||
|
71. |
s5 |
(8 — a2/2) cos a/ — lat sin at | |
|
(s2 + a2)3 |
8 | ||
|
72. |
3 s2 — a2 |
r2 sin at | |
|
(s2 + fl2)3 |
2a | ||
|
73. |
i3 — 3 a2s |
1 , -r cos ar 2 | |
|
(s2 + a2)3 | |||
|
74. |
s3 — a2s (.v2 + a2)4 |
/3 sin at 24 a | |
|
75. |
1 |
(3 + a2r2) sinh ar — 3at cosh ar | |
|
(.v2 — a2)3 |
8a5 | ||
|
76. |
s |
ar2 cosh ar — r sinh ar | |
|
(s2 — fl2)3 |
8a3 | ||
|
77. |
S2 |
ar cosh at + (a2r2 — 1) sinh at | |
|
(,v2 — a2 )3 |
8 a3 | ||
|
78. |
J3 |
3r sinh at + ar2 cosh ar | |
|
(i2 — fl2)3 |
8a | ||
|
79. |
(3 + a2r2) sinh ar + 5ar cosh at | ||
|
(i2 — a2)3 |
8 ć/ | ||
|
80. |
(8 + a2r2) cosh ar 4- 7ar sinh ar | ||
|
(.v2 - a2)3 |
8 | ||
|
81. |
3.ę2 + a2 |
r2 sinh at | |
|
(,v2 — a2)3 |
la | ||
|
82. |
i2 + 2a2 |
cos2 at | |
|
s(s2 + 4a2) | |||
|
83. |
s2 — 2 a2 |
cosh2 at | |
|
,v(.v2 — 4a2) | |||
|
84. |
la2 |
sin2 ar | |
|
s(s2 + 4a2) | |||
|
85. |
2a2 |
sinh2 ar | |
|
s(s2 — 4a2) | |||
|
86. |
1 |
e*'/2 3a2 |
1 -in co- l c-ial/1 |
|
i3 + a3 |
2 2 | ||
|
87. |
s |
eoi/2 |
co- i 73-in '^al t-”3"'72 |
|
,v3 + a3 |
3 a |
vUo I V J olll L 2 2 | |
(Continued)
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