Page 25 - LAPLACE TRANSFORM
P. 25

Example   5








               Find Laplace Transform, F(s) of given f        unctions.


                                       1
                                                      
                       L{ sin 2  wt }=  L    ( − cos1  2 wt )
                                                      
                                       2             


                      L{                      }=  L � (1 −              2         )�
                                     1
                           2
                                     2
                                             1
                             L{                      }=  L � (1 −              2         )�
                                  2
                                             2
                                           
                                            1
                                         = L    −  L �              2         �
                                                    1
                                            2     2
                                                1
                                                            }
                                           1
                                         =  L � � −  L {cos2wt
                                           2    2

                                                          
                                         =   1  −  1   2  s  2 
                                                
                                                
                                         2s   2 s +   4w 


























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