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Prove: Second translation (or shifting) property. Let L[F(t)] = f(s) and


             ole.gif



Then

 

L[G(t)] = e-as f(s)



Proof.


ole1.gif


                                     ole2.gif


We now make a change of variable. Let u = t - a. Substituting we get


ole3.gif


                                                 ole4.gif


SolitaryRoad.com

Website owner:  James Miller


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