Question

Find the inverse transform of
F(s)=[12+36e^(-2s)]/[(2+6)^4]=[12/(s+6)^4]+[36e^-2s/(s+6)^4]

Answer 1

\[L ^{-1}\left\{ 12/(s + 6)^{4} \right\} = 2t ^{3}e ^{6t}.\]