Page 53 - LAPLACE TRANSFORM

Example 5

Find the Inverse Laplace Transform of the following.

L � 3 �
-1
2 −6
Refer to the expression , so
+

-1
3
= L � 2( −3) �
3
-1  1
= L  s 

2
 − 3

= 3 e
t 3
2

Example 6

Find the Inverse Laplace Transform of the following.

• { }
10
−1
3

Refer to the expression , and identify the value of n.

n=3,

-1 10 −1 1
L � � = 10 � �
3 3

1 2
−1
= 10 � �
2 3
1 −1 2
= 10 ∗ � �
2 3
10 2 2
= = 5
2

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