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Let us consider the following problem for the heat equation ди д'и = 0 in (0,1) ×(0,+), д дх? {u(x,0) = x, Vx e (0,1), (1) u(0,t) = u(1,t) = 0, Vt > 0. Use the method of separation of variables to compute the solution of problem (1).

Let us consider the following problem for the heat equation ди д'и = 0 in (0,1) ×(0,+), д дх? {u(x,0) = x, Vx e (0,1), (1) u(0,t) = u(1,t) = 0, Vt > 0. Use the method of separation of variables to compute the solution of problem (1).

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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Let us consider the following problem for the heat equation ди д'и = 0 in (0,1) ×(0,+), д дх? {u(x,0) = x, Vx e (0,1), (1) u(0,t) = u(1,t) = 0, Vt > 0. Use the method of separation of variables to compute the solution of problem (1).
Transcribed Image Text:Let us consider the following problem for the heat equation ди д'и = 0 in (0,1) ×(0,+), д дх? {u(x,0) = x, Vx e (0,1), (1) u(0,t) = u(1,t) = 0, Vt > 0. Use the method of separation of variables to compute the solution of problem (1).
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