Page 28 - LAPLACE TRANSFORM

2.0 INVERSE LAPLACE TRANSFORM

ƒ(t) is an inverse Laplace transform of F(s);

-1
ƒ(t) = ʆ {F(s)}

Inverse Laplace transform of a function can be calculated by;

1) using Table (linearity)

2) completing the square

2.1 Inverse Laplace Transform of a Function by Using Table

Example 1

Find the inverse Laplace transform of the following functions.

6 1 4
1) F(S) = − +
−8 +3

7
2) F(S) = 2 − 3 +
2
2
+9 +9 5
3) F(S) = 1
2
+9
4) F(S) = +2
2
+ 5

5) F(S) = 3
2
( −7) + 9
6) F(S) =
2
( +2) + 16

7) F(S) = −4

2
( +2) + 49

22