Laplace transform solution check

[hedipaldi]

Hi everybody,
can somewone tell me where am i wrong in this solution?(attached here)
thank's

 

[Ray Vickson]

Hi everybody,
can somewone tell me where am i wrong in this solution?(attached here)
thank's

Well, if $e^t \longrightarrow 1/(s-1),$ then $e^{t+1} \longrightarrow e/(s-1),$ not $e^s /(s-1).$

RGV

 

[hedipaldi]

thank's a lot