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

question 29

Multiple Choice

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

• A) \(a ^ { 2 } \frac { \partial ^ { 2 } U } { \partial x ^ { 2 } } + s ^ { 2 } U = - s f ( x )\)
• B) \(a ^ { 2 } \frac { \partial ^ { 2 } U } { \partial x ^ { 2 } } + s ^ { 2 } U = 0\)
• C) \(a ^ { 2 } \frac { \partial ^ { 2 } U } { \partial x ^ { 2 } } - s ^ { 2 } U = - f ( x )\)
• D) \(a ^ { 2 } \frac { \partial ^ { 2 } U } { \partial x ^ { 2 } } - s ^ { 2 } U = s f ( x )\)
• E) \(a ^ { 2 } \frac { \partial ^ { 2 } U } { \partial x ^ { 2 } } - s ^ { 2 } U = 0\)

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Definitions:

Feared Consequence

The anticipated negative outcome that one believes will occur as a result of certain actions or events.

Persuasive

Having the ability to convince or influence others to believe or do something through reasoning or the appeal to emotions.

Persuasion

The act of influencing someone's beliefs, attitudes, or behaviors through argument, reasoning, or appeal.

Weaker Arguments

Arguments that lack sufficient evidence or logical coherence, making them less persuasive or convincing.