Solve the following problem using Laplace transforms.

u_tt = c²u_xx g, x > 0, t > 0,

u(0,t)=0, t > 0,

u(x, 0) = u_t(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 did ask this question before but the person who solved it left out the "-g" at the end of the wave equation, which is incorrect.