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
icon
Related questions
Question

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!

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,