Use matlab software to solve. Show the command used. Use the solve command.

C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter7: Arrays
Section7.5: Case Studies
Problem 15E
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Use matlab software to solve. Show the command used. Use the solve command.
2.
A thin square metal plate has a uniform temperature of 80°C on two opposite edges, a
temperature of 120°C on the third edge, and a temperature of 60°C on the remaining
edge. A mathematical procedure to approximate the temperature at six uniformly
spaced interior points results in the following equations: ¹3
47₁-T₂-T6 = 200
-T₁+4T2-T3-T5 = 80
-T₂+ 473-T₂ = 140
-T3 + 4T4-T5 = 140
-T₂-T₁ +4T5-T6 = 80
-T₁-Ts + 4T6 = 200
What is the value of T1, T2, T3, T4, T5 and T6?
Transcribed Image Text:2. A thin square metal plate has a uniform temperature of 80°C on two opposite edges, a temperature of 120°C on the third edge, and a temperature of 60°C on the remaining edge. A mathematical procedure to approximate the temperature at six uniformly spaced interior points results in the following equations: ¹3 47₁-T₂-T6 = 200 -T₁+4T2-T3-T5 = 80 -T₂+ 473-T₂ = 140 -T3 + 4T4-T5 = 140 -T₂-T₁ +4T5-T6 = 80 -T₁-Ts + 4T6 = 200 What is the value of T1, T2, T3, T4, T5 and T6?
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