7. Find u satisfying 1 1 Urr +=+00=0, 0≤0 ≤#, r<1, T subjected to the boundary conditions u(r, 0) = 0 = u(r, π), u(1,0) = 100(π-0), 0≤0 ≤ T. Ans: u(r,0) = -4050 [ (1 - cos na)r" sin no n=]
7. Find u satisfying 1 1 Urr +=+00=0, 0≤0 ≤#, r<1, T subjected to the boundary conditions u(r, 0) = 0 = u(r, π), u(1,0) = 100(π-0), 0≤0 ≤ T. Ans: u(r,0) = -4050 [ (1 - cos na)r" sin no n=]
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
4
Transcribed Image Text:7. Find u satisfying
1
1
Urr +U+00=0, 0≤0 ≤*, r<1,
subjected to the boundary conditions
u(r, 0) = 0 = u(r, π), u(1,0) = 100(π-0), 0≤0 ≤ T.
Ans:
%40
u(r,0) = Σ; - cos nn)T" sin no
Tn³
n=1
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
