Verfy that each of the funcions € ³ √ m² en ² Ulinn (x14₁3) = ē sates frer Laplace's any as my equation N U (2₁9,3) = 2 U₂ (41413) nzl Satisfies the same smnx m = 0, 1, 2₁ -- Uxx+lay +llzz = 0 and the boundary conditions Uco, y₁ 8) = U (1T₁, 4₁ 3) = 0, Uly (2₁0, 8) = lly (2,₁11, 3) = 0 Show itwat linear combination -) n=1₁2₁- -. differential equation and boundary conditions.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 34E
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Verfy that each of the funcions
€ ³ √ m² en ²
Ulinn (x14₁3) = ē
sates frer Laplace's
as my
any
equation
smnx
m = 0,1₁ 2₁ --
-)
Uxx+lay +llzz = 0
and the boundary Conditions
Uco, 4₁ 8) = U (1T₁, 4₁ 3) = 0, Uly (2₁0, 8) = lly (2, 11, 3) =
y,
0
Show itwat
linear Combination
n=1₁2₁- -.
N
U (2₁9,3) = 2. Un (x₁14,3)
nzl
Satisfies the same differential equation and boundary conditions.
Transcribed Image Text:Verfy that each of the funcions € ³ √ m² en ² Ulinn (x14₁3) = ē sates frer Laplace's as my any equation smnx m = 0,1₁ 2₁ -- -) Uxx+lay +llzz = 0 and the boundary Conditions Uco, 4₁ 8) = U (1T₁, 4₁ 3) = 0, Uly (2₁0, 8) = lly (2, 11, 3) = y, 0 Show itwat linear Combination n=1₁2₁- -. N U (2₁9,3) = 2. Un (x₁14,3) nzl Satisfies the same differential equation and boundary conditions.
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