You get to a step that you found a solution of the form: u(r,0) = > An(rn – r=")sin(n0), n=1 where A, is not yet determined, Continue from here to solve the steady-state temperature u(r,0) in this semi-annular plate.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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7.
below, if a = 1, b = 2 and boundary conditions are
You are solving the steady-state temperature u(r, 0) in the semi-annular plate shown
u(1,0) = 0,
u(r,0) = 0,
u(2,0) — ө, 0 <ө<п
u(r,1) = 0,
1<r< 2
You get to a step that you found a solution of the form:
00
u(r,8) = >, An (rn – r=")sin(n0),
n=1
where A, is not yet determined, Continue from here to solve the steady-state temperature
u(r,0) in this semi-annular plate.
a
-b→
Transcribed Image Text:7. below, if a = 1, b = 2 and boundary conditions are You are solving the steady-state temperature u(r, 0) in the semi-annular plate shown u(1,0) = 0, u(r,0) = 0, u(2,0) — ө, 0 <ө<п u(r,1) = 0, 1<r< 2 You get to a step that you found a solution of the form: 00 u(r,8) = >, An (rn – r=")sin(n0), n=1 where A, is not yet determined, Continue from here to solve the steady-state temperature u(r,0) in this semi-annular plate. a -b→
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