a?u, a?u (c) = 0;0< x5 5,0 sys 10 əx² ду? subiect to

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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Question
a²u
a?u
(c)
= 0;0 < x < 5,0 sys 10
+
əx²
ду?
subject to
u(0; y) = u(5;y) = 0 ; 0 < y< 10
Α- (g; 0 ) -0; 0< x< 5
u(x; 0) 5sin2πx ; 0 <x< 5
du
ду
Transcribed Image Text:a²u a?u (c) = 0;0 < x < 5,0 sys 10 + əx² ду? subject to u(0; y) = u(5;y) = 0 ; 0 < y< 10 Α- (g; 0 ) -0; 0< x< 5 u(x; 0) 5sin2πx ; 0 <x< 5 du ду
1. Determine the steady state temperature u(x; y) of rectangular plates
described by the following differential equations
Transcribed Image Text:1. Determine the steady state temperature u(x; y) of rectangular plates described by the following differential equations
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