6. Solve this problem for the temperature in a rod in contact along the lateral surface with a medium at temperature 0. ² u 1 du əx² k ət = +y²u, u(0, t) = 0, u(x, 0) = To, du -(a, t) = 0, əx 0

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Chapter2: Second-order Linear Odes
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6. Solve this problem for the temperature in a rod in contact along the lateral
surface with a medium at temperature 0.
2
1 Ju
əx²
k at
u(0, t) = 0,
u(x, 0) = To,
+y²u,
ди
-(a, t) = 0,
əx
0<x<a,
0 < t,
0 < x <a.
0 <t,
Transcribed Image Text:6. Solve this problem for the temperature in a rod in contact along the lateral surface with a medium at temperature 0. 2 1 Ju əx² k at u(0, t) = 0, u(x, 0) = To, +y²u, ди -(a, t) = 0, əx 0<x<a, 0 < t, 0 < x <a. 0 <t,
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