Q1) Solve the wave equation of the circular membrane of radius 4 assuming the axisymmetry subjected to the following conditions u(r,0) = u(4,t) =0, t>0 and u,(r,0)=1. Q2) Solve the wave equation u It " = u 00 XX subject to u(0,t) = u(2,t) =0, t>0 and u(x,0)=0, u(x,0)= sin (3лx), 00, " 18 " 00 with u¸ (0,t) = . X |u(x, 0) = { 1, 0
Q1) Solve the wave equation of the circular membrane of radius 4 assuming the axisymmetry subjected to the following conditions u(r,0) = u(4,t) =0, t>0 and u,(r,0)=1. Q2) Solve the wave equation u It " = u 00 XX subject to u(0,t) = u(2,t) =0, t>0 and u(x,0)=0, u(x,0)= sin (3лx), 00, " 18 " 00 with u¸ (0,t) = . X |u(x, 0) = { 1, 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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