Problem 11.3. Find a solution to the equationUtt = Uxx, x ≤ [0; 1], t ≥ 0,withut(x,0) = 0, for x = [0; 1/2],u(0, t) = 0, u(1, t) = 0,u(x, 0) = 0,ut(x,0) = 1, for x € [1/2; 1],

The given problem is to find the solution for the given partial differential equation with given…

Answered: Problem 11.3. Find a solution to the…

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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Problem 11.3. Find a solution to the equation Utt = Uxx, x ¤ [0; 1], t ≥ 0, with ut(x, 0) = 0, for x = [0; 1/2], u(0, t) = 0, u(1, t) = 0, u(x,0) = 0, ut(x,0) = 1, for x € [1/2; 1],