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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
Expert Solution
Step 1

Given,     ∂2u∂x2+∂2u∂x2=0;      0≤x≤5,   0≤y≤10    ...(1)subject to      u(0, y)=u(5, y)=0; 0≤y≤10                      ...(2)      ∂u∂x(x, 0)=0; 0≤x≤5      u(x, 0)=5sin2πx; 0≤x≤5                    ...(3)                

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