Page 43 - LAPLACE TRANSFORM
P. 43

Example   3








               Find the Laplace Transform using the Multiplication by       of
                                                                                        
               the followings:-


                                 { et .L  2  at }


                                at
                                 f(t) = e ,    n=2
                                    1
                         L [ tf )(  ]=
                                  s − a

                                         d  2   1  
                          2
                        { et .  at } = ( − )1  2    
                       L
                                        ds 2   − as  

                                    d  2   1  
                                = )1(       
                                   ds 2   − as  


                                      2
                               = (1)
                                    (    −    ) 3



                                                                         Differentiate





















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