Page 36 - LAPLACE TRANSFORM
P. 36
-2t
-2t
= e − 2 e
4) F(S) = +
+ +
-1
-1
f(t) = ʆ {F(S)} = ʆ { 3 +10 }
2
+10 + 41
A=1, B=10, C=41
(s ± ) + (C − ( ) )
2
2
(s + ) + (41 − ( ) ) = (s + ) + (16)
2
2
2
= (s + ) + (4)
2
2
3 +10
=
2
( +5) + 4 2
3 ( +5) − 5
=
2
( +5) + 4 2
3 ( +5) 5
= −
2
2
( +5) + 4 2 ( +5) + 4 2
5
-5t
= 3 e 4 − [ 4 ]
2
4 ( +5) + 4 2
30
