Give me all right solutions with clear calculations Q3) Take yt = 100y,, 0 0, y(0,t) = y(4,t) = 0, y(x, 0) = F(x), andy:(x, 0) = 0. Suppose that F(0) = 0, F(1) = 2, F (2) = 3, and F(3) = 1. Using the%3D%3Dd'Alembert solution findа) у(1,1)b) у(4,3)с) у(3,9)

Given equation is, ytt=100yxx ,0<x<4, t>0,y0,t=y4,t=0,yx,0=Fx and ytx,0=0...(1) From the…

Answered: Q3) Take ytt = 100y,xx, 0 < x < 4, t >…

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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Q3) Take ytt = 100y,xx, 0 < x < 4, t > 0, y(0,t) = y(4, t) = 0, y(x,0) = F(x), and Y:(x, 0) = 0. Suppose that F(0) = 0,F(1) = 2, F(2) = 3, and F(3) = 1. Using the d'Alembert solution find а) у(1,1) b) у(4,3) с) у(3,9)