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

question 10

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) \(U = \frac { s } { s ^ { 2 } + \pi ^ { 2 } } \sinh ( - s x / \alpha )\)

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