Consider the signals f(t)=et and g(t)=e⁻²ᵗ ,t≥0. Compute the convolution between the two functions f(t)∗g(t) in two different ways:
a) By directly evaluating the integral
b) By computing {L⁻¹ {F(S)G(S)}, where F(S)=L{f(t)} and G(S)=L{g(t)}