82u 82 и = x > 0, t> 0 ах2 д12' u(0,t) = 0, lim u(z,t)=0, t>0 T-00 u(x, 0) = 0, ди Ət = Te x>0 7

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

Please use Laplace transform to solve the following wave equation,

You may use programs like mathematica to do it, such as Apart[1/(s^2 - 1)]. 

32u 82u
?х2
=
u(0,t) = 0,
u(x,0) = 0,
0+2'
x>0, t>0
lim u(x, t) = 0,
X-00
ди
4x
- те
Ət
7
t>0
x > 0
Transcribed Image Text:32u 82u ?х2 = u(0,t) = 0, u(x,0) = 0, 0+2' x>0, t>0 lim u(x, t) = 0, X-00 ди 4x - те Ət 7 t>0 x > 0
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

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,