sec 4.10: Problem 5 We wish to solve 1 1 u = Upp + UT + = 0 r r2 in polar coordinates for the region 1 < r < 5. (It is the region between the circles of radius 1 and 5.) As the boundary conditions Suppose that u = 9 if r = 1, and u = 6 if r = 5. To solve this problem assume that u does not depend on 0, that is, u is a function of r alone. Write down the Laplacian in this case and solve. u = help (formulas)
sec 4.10: Problem 5 We wish to solve 1 1 u = Upp + UT + = 0 r r2 in polar coordinates for the region 1 < r < 5. (It is the region between the circles of radius 1 and 5.) As the boundary conditions Suppose that u = 9 if r = 1, and u = 6 if r = 5. To solve this problem assume that u does not depend on 0, that is, u is a function of r alone. Write down the Laplacian in this case and solve. u = help (formulas)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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Transcribed Image Text:sec 4.10: Problem 5
We wish to solve
1
1
u = Upp +
UT
+
= 0
r
r2
in polar coordinates for the region 1 < r < 5. (It is the region between the circles of radius 1
and 5.) As the boundary conditions Suppose that u
=
9 if r = 1, and u
=
6 if r = 5.
To solve this problem assume that u does not depend on 0, that is, u is a function of r
alone. Write down the Laplacian in this case and solve.
u =
help (formulas)
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