Question: Solve the following problem using Laplace transforms. u tt = c 2 u xx g, x > 0, t > 0, u(0,t)=0, t > 0,

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.

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