Tool:       The following identities generate basic Laplace transforms:

where n, a, ≥ 0; is the impulse (or delta) function, and u(t) is the unit step function:

    with   ,              

Table:             v(t)                               V(s)                                       values in basic identity            

        1 or u(t)                                                                   

                                                                                   

                                                                              

                                                                           

                                                                    

                                                               

                                                                

                                                                 

                                          

                                           

Ref:          James A. Nilsson, Susan A. Riedel, Electric Circuits, 8th Ed., Upper Saddle River, NJ: Prentice Hall, 2007.