If $U ( x , s ) = \mathcal { C } \{ u ( x , t ) \} , \text { then } \left\{ \frac { \partial ^ { 2 } u } { \partial t ^ { 2 } } \right\}$

Multiple Choice

If $U ( x , s ) = \mathcal { C } \{ u ( x , t ) \} , \text { then } \left\{ \frac { \partial ^ { 2 } u } { \partial t ^ { 2 } } \right\}$ is

A) $U _ { s } ( x , s )$
B) $s U ( x , s )$
C) $s ^ { 2 } U ( x , s ) - u ( x , 0 )$
D) $s ^ { 2 } U ( x , s ) - u ( x , 0 ) - s u _ { t } ( x , 0 )$
E) $s ^ { 2 } U ( x , s ) - s u ( x , 0 ) - u _ { t } ( x , 0 )$