UT (z,0) = 0,b) Find the solution for the following wave equationUTM1= u 0 0,subject to the boundary conditionsu(0, t) = 0, u(4, t) = 0, t>0,UTMUTMO UMe0

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Answered: b) Find the solution for the following…

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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b) Find the solution for the following wave equation 1 Uu = u, 00, subject to the boundary conditions u(0, t) = 0, u(4, t) = 0, t>0, and the initial conditions UTM UT 4(z,0) = 0. u(r, 0) = (r – 1)2, TM by using the method of separation of variables. UT0