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The Laplace transform of sinh(at) is

1. a/(s² − a²)
2. a/(s² + a²)
3. s/(s² − a²)
4. s/(s² + a²)

Correct answer: a/(s² − a²)

Solution

The Laplace transform of sinh(at) is a/(s^2 - a^2), valid for s > |a|. The option s/(s^2 - a^2) is the transform of cosh(at), not sinh(at).

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