Page 52 - LAPLACE TRANSFORM
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Example   3





             Find the Inverse Laplace Transform of the following.

                          7
                     −1     }
                •       {
                            +5

                   Refer to the expression            , so
                                                   +    

                                               -1

                               -1
                             L  �  7  � = 7 L  �   1  �
                                      +5              +5
                                                         = 7     −5    








           Example   4





              Find the Inverse Laplace Transform of the following.


                     9
                    { }
                 −1

                          2
                               9
                           L  � � = 9     −1  � �
                                            1
                             -1
                                     2          2

                                                    
                    Refer to the expression   , and identify the value of n.
                                                         
                    n=2,
                    so,
                                     −1  =        2−1  =
                                             1
                                                
                         (    −1)!  (2−1)!  1!

                            1            1
                    ∴ 9     −1  � � = 9 � �
                                2   1!
                                        = 9    






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