b) An insulated uniform bar 2m in length has the temperature of its ends maintained at zero degrees Celsius and at time t 0. Show that a general solution may be given as nen U(x, t) = E Qn sin ()e %3D 2 n=1 Where Qn is found from the initial temperature distribution of the bar. [You do not need to find Qn).

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

Can I have the answer to question 3B with full working out and answer please 

3.
a) Given that
sin(x – 3t) + cos(x) et,
axdt
where = (t- 4)² when x = 0 and y = In|x| when t =
ay
0,
%3D
ae
find y(x, t).
b) An insulated uniform bar 2m in length has the temperature of its ends maintained at
zero degrees Celsius and at time t = 0. Show that a general solution may be given as
U(x, t) = E Q. sin
()e-t
12
n=1
Where Qn is found from the initial temperature distribution of the bar.
[You do not need to find Q.l.
8.
Transcribed Image Text:3. a) Given that sin(x – 3t) + cos(x) et, axdt where = (t- 4)² when x = 0 and y = In|x| when t = ay 0, %3D ae find y(x, t). b) An insulated uniform bar 2m in length has the temperature of its ends maintained at zero degrees Celsius and at time t = 0. Show that a general solution may be given as U(x, t) = E Q. sin ()e-t 12 n=1 Where Qn is found from the initial temperature distribution of the bar. [You do not need to find Q.l. 8.
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
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,