In the Previous Problem, Assume That $f ( x ) = \sin ( \pi t )$

Multiple Choice

In the previous problem, assume that $f ( x ) = \sin ( \pi t )$ . The solution for $U ( x , s )$ is

A) $U = \frac { s } { s ^ { 2 } + \pi ^ { 2 } } e ^ { s x / \alpha }$
B) $$U = \frac { s } { s ^ { 2 } - \pi ^ { 2 } } e ^ { - s x / \alpha }$$
C) $U = \frac { \pi } { s ^ { 2 } - \pi ^ { 2 } } e ^ { s x / \alpha }$
D) $U = \frac { s } { s ^ { 2 } + \pi ^ { 2 } } e ^ { - s x / \alpha }$
E) $U = \frac { s } { s ^ { 2 } + \pi ^ { 2 } } \sinh ( - s x / \alpha )$