4. Solve the one-dimensional heat equation with the conditions w(0, t) = 20, w(2, t) = 50 4Tx + 17 sin- 2 6Tx + 9 sin- 2 9πα + (20 + 15x). w(x, 0) = 5 sin- 12 sin- 2 (Solve completely the eigenvalue problem involved).
4. Solve the one-dimensional heat equation with the conditions w(0, t) = 20, w(2, t) = 50 4Tx + 17 sin- 2 6Tx + 9 sin- 2 9πα + (20 + 15x). w(x, 0) = 5 sin- 12 sin- 2 (Solve completely the eigenvalue problem involved).
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Transcribed Image Text:4. Solve the one-dimensional heat equation with the conditions
w(0, t) = 20, w(2, t) = 50
4Tx
+ 17 sin-
2
6Tx
+ 9 sin-
2
9πα
+ (20 + 15x).
w(x, 0) = 5 sin-
12 sin-
2
(Solve completely the eigenvalue problem involved).
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