Page 54 - LAPLACE TRANSFORM
P. 54

Example   7





            Find the Inverse Laplace Transform of the following.

                           6
                     −1
                •       {      }
                          2
                              −36

                                                  
                Refer to the expression           , so
                                                 
                                                 −         



                     -1    6
                    L    �    � = sinh 6t
                               −36
                          2











           Example   8



            Find the Inverse Laplace Transform of the following.

                     −1   6    
                •       {     }
                          2
                             −36
                •
                 •
                •
                •
                                                      
                   Refer to the expression
                 •                                          , so
                                                    −    


                                 −1  �  6      � = 6     −1  �        �
                                      −36               −36
                                                    2
                                  2



                                                     = 6            ℎ3    









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