The figure shows the boundary temperatures (in degrees Celsius) of an insulated thin metal plate. The steady-state temperature at an interior junction is approximately equal to the mean of the temperatures at the four surrounding junctions. Use a system of linear equations to approximate the interior temperatures T₁, T2, T3, and T4. (T₁, T2, T3, T4) =( °C (20 (20 60 X 60 (50° (50%

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The figure shows the boundary temperatures (in degrees Celsius) of an insulated thin metal plate. The steady-state temperature at an interior junction is approximately
equal to the mean of the temperatures at the four surrounding junctions. Use a system of linear equations to approximate the interior temperatures T₁, T2, T3, and T4.
) oc
(T1, T2, T3, T4):
=
(20°
(20%)
60°
T
(10°
60°
(10°
(50%)
(50°
Transcribed Image Text:The figure shows the boundary temperatures (in degrees Celsius) of an insulated thin metal plate. The steady-state temperature at an interior junction is approximately equal to the mean of the temperatures at the four surrounding junctions. Use a system of linear equations to approximate the interior temperatures T₁, T2, T3, and T4. ) oc (T1, T2, T3, T4): = (20° (20%) 60° T (10° 60° (10° (50%) (50°
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