du d² u Solve the boundary value problem: Ət , subject to the following conditions: ax ² 2 u(0, t) = 3, u(π, t) = 1, u(x, 0) = 2x, where 0 0. =
du d² u Solve the boundary value problem: Ət , subject to the following conditions: ax ² 2 u(0, t) = 3, u(π, t) = 1, u(x, 0) = 2x, where 0 0. =
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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Solve the boundary value problem: du/dt = d^2u/dx^2 , subject to the following conditions: u(0,t) = 3, u(pie, t) = 1, u(x,0) = 2x,where 0 < x < pie, t > 0.
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