3. u(0, t) = 0, u(T, t) = 0, t> 0 %3D au u(x, 0) = 0, sin x, 0

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
Topic Video
Question

# 3

13.4 |Exercises Answers to selected odd-num
In Problems 1–6, solve the wave equation (1) subject to the
given conditions.
1. u(0, t) = 0, u(L, t) = 0, t> 0
1.
ди
u(x, 0) = –x(L – x),
x(L-x),
= 0, 0<x< L
4
at \1=0
2. и(0, 1) 3D 0, и(L, I) %3D 0, I>0
t > 0
ди
u(x, 0) = 0,
= x(L- x), 0 < x < L
%3D
t=D0
3. u(0, t) = 0, u(, t) = 0, t>0
ди
u(х, 0) %3D 0,
sin x, 0<x < T
at
t=D0
722 | CHAPTER 13 Boundary-Value Problems in Rectangular C
Transcribed Image Text:13.4 |Exercises Answers to selected odd-num In Problems 1–6, solve the wave equation (1) subject to the given conditions. 1. u(0, t) = 0, u(L, t) = 0, t> 0 1. ди u(x, 0) = –x(L – x), x(L-x), = 0, 0<x< L 4 at \1=0 2. и(0, 1) 3D 0, и(L, I) %3D 0, I>0 t > 0 ди u(x, 0) = 0, = x(L- x), 0 < x < L %3D t=D0 3. u(0, t) = 0, u(, t) = 0, t>0 ди u(х, 0) %3D 0, sin x, 0<x < T at t=D0 722 | CHAPTER 13 Boundary-Value Problems in Rectangular C
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 10 images

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
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,