Page 33 - LAPLACE TRANSFORM

6
-2t
-2t
= e 7 − e Sin 7t
7

2.2 Inverse Laplace Transform of a Function by Completing the

Square

Example 2

Find the inverse Laplace transform of the following functions.

1) F(S) = +3
2
−4 + 13

2) F(S) = +8
2
−6 + 34

3) F(S) =
2
+4 + 5

4) F(S) = 3 +10
2
+10 + 41

5) F(S) = 6 + 12
2
2
3 + 9 − 64
6) F(S) = 5 −6
2
+ 7

7) F(S) = 4 −3
2
2 − 4 + 40

8) F(S) = −8
2
−4 + 53

9) F(S) = −10
2
+10 + 41

27