The inverse Laplace Transform of $\frac{s^{2}}{(s-3)^{3}}$ can be written as $\frac{e^{3 t}}{2}\left[A t^{2}+B t+C\right]$. The values of $A$, $B$ and $C,$ respectively are
(A) 3,5 and 7
(B) 2,10 and 12
(C) 10,12 and 4
(D) 9,12 and 2

Question ID - 157380 | Toppr Answer

The inverse Laplace Transform of $\frac{s^{2}}{(s-3)^{3}}$ can be written as $\frac{e^{3 t}}{2}\left[A t^{2}+B t+C\right]$. The values of $A$, $B$ and $C,$ respectively are
(A) 3,5 and 7
(B) 2,10 and 12
(C) 10,12 and 4
(D) 9,12 and 2