Answered: 3. (a) Use the method of separation of…

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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3. (a) Use the method of separation of variables to obtain the solution of the wave equation du 10u 2 Ot2 for 0 <<1 and t> 0, which satisfies the boundary conditions u(0, t) = u(1, t) = 0, and the initial condition u (х, 0) — 1.