Page 35 - LAPLACE TRANSFORM
P. 35
( − 3) 11
= +
2
2
( −3) + 5 2 ( −3) + 5 2
( − 3) 11
= +
2
2
( −3) + 5 2 ( −3) + 5 2
11
3t
= e 5 + [ 5 ]
2
5 ( – 3) + 5 2
11
3t
3t
= e 5 + e 5
5
3) F(S) =
+ +
-1
-1
f(t) = ʆ {F(S)} = ʆ { }
2
+4 + 5
A=1, B=4, C=5
(s ± ) + (C − ( ) )
2
2
(s + ) + (5 − ( ) ) = (s + ) + (1)
2
2
2
= (s + ) + (1)
2
2
=
2
( +2) + 1 2
( +2)−2
=
2
( +2) + 1 2
( +2) 2
= −
2
2
( +2) + 1 2 ( +2) + 1 2
2
-2t
= e − [ 1 ]
2
1 ( + 2) + 1 2
29
