Page 38 - LAPLACE TRANSFORM
P. 38
= 5 √7 − 6 √7
√7
7) F(S) = −
− +
-1
-1
f(t) = ʆ {F(S)} = ʆ { 4 −3 }
2
2 − 4 + 40
4 −3
=
2
2 ( − 2 + 20)
A=1, B=2, C=20
(s ± ) + (C − ( ) )
2
2
2 2 2
(s − ) + (20 − ( ) ) = (s − ) + (19)
2 2
= (s − ) + (√19)
4 −3
= { 2 }
2
( − 1) + √19 √19 x √19 = 19
4( −1) +1
= { }
2
( − 1) + √19 2
4( −1) 1
= { + }
2
2
( − 1) + √19 2 ( − 1) + √19 2
( −1) 1 √
= { 4 [ 2 ] + [ 2 ] }
( − 1) + √19 √ ( − 1) + √
2
2
( −1) 1 √
= 2 [ 2 ] + [ 2 ]
2
2
( − 1) + √19 √ ( − 1) + √
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