(a) Use the definition of the Laplace transform to compute L{cosh(at)}, where a e R\{0}. What's the domain of L{cosh(at)}? (b) Use Laplace transforms to solve y" – a²y = cosh(at) where y(b) = 1 and y' (b) = 2 and bE R. (c) Is the solution in part (b) unique? Justify using a theorem.

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