Solve the following problem using Laplace transforms.  utt = c2uxx − g, x > 0, t > 0,  u(0,t)=0, t > 0,  u(x, 0) = ut(x, 0) = 0, x > 0.  The solution shows what happens to a falling cable lying on a table that is suddenly removed. Sketch some time snapshots of the solution. * I have tried solving this with Laplace Transforms but when I go and check my answers, I see this exp function show up that I am not aware of.  I just want to make sure that I am doing this right.  Any help would be much appreciated!

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