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!
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!
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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