In the Previous Problem, Apply the Laplace Transform $U ( x , s ) = \mathcal { L } \{ u ( x , t ) \}$

In the previous problem, apply the Laplace transform. The resulting equation for $U ( x , s ) = \mathcal { L } \{ u ( x , t ) \}$ is

A) $\frac { \partial ^ { 2 } U } { \partial x ^ { 2 } } + s ^ { 2 } U = - s f ( x )$
B) $\frac { \partial ^ { 2 } U } { \partial x ^ { 2 } } + s ^ { 2 } U = f ( x )$
C) $\frac { \partial ^ { 2 } U } { \partial x ^ { 2 } } - s ^ { 2 } U = - f ( x )$
D) $\frac { \partial ^ { 2 } U } { \partial x ^ { 2 } } - s ^ { 2 } U = s f ( x )$
E) $\frac { \partial ^ { 2 } U } { \partial x ^ { 2 } } - s ^ { 2 } U = - s f ( x )$

Correct Answer:

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