Page 32 - LAPLACE TRANSFORM
P. 32
6) F(S) =
( + ) +
-1
-1
f(t) = ʆ {F(S)} = ʆ { }
2
( +2) + 16
=
2
( +2) + 4 2
= ( +2)−2
2
( +2) + 4 2
= ( +2) − 2
2
2
( +2) + 4 2 ( +2) + 4 2
2
-2t
= e Cos 4t − [ 4 ]
2
4 ( +2) + 4 2
1
-2t
-2t
= e Cos 4t − e Sin 4t
2
7) F(S) = −
( + ) +
-1
-1
f(t) = ʆ {F(S)} = ʆ { −4 }
2
( +2) + 49
= −4
2
( +2) + 7 2
( +2)−6
=
2
( +2) + 7 2
( +2) 6
= −
2
2
( +2) + 7 2 ( +2) + 7 2
( +2) 6 7
= − [ ]
2
2
( +2) + 7 2 7 ( +2) + 7 2
26
