C- Solve the wave equations below;1- Solve the boundary value problem;a²y= 4əx²y(0, t) = y(5, t) = 0,y(x,0) = 0, andi)= 5 sin nx,whenn t= 0%3Datay= 3 sin 2nx - 2 sin 5nx ,ii)atwhenn t = 0

Answered: Image /qna-images/answer/654ca672-d607-4b83-90af-7a30ac7ff278.jpg

C-Solve the wave equations below; 1- Solve the boundary value problem; a²y azy = 4 əx² at2 y(0,t) = y(5, t) = 0, y(x,0) = 0, and ду i) = 5 sin Ax, whenn t= 0 ay ii) = 3 sin 2nx - 2 sin 5nx, at whenn t= 0

C-Solve the wave equations below; 1- Solve the boundary value problem; a²y azy = 4 əx² at2 y(0,t) = y(5, t) = 0, y(x,0) = 0, and ду i) = 5 sin Ax, whenn t= 0 ay ii) = 3 sin 2nx - 2 sin 5nx, at whenn t= 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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Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

C- Solve the wave equations below;
1- Solve the boundary value problem;
a²y
= 4
əx²
y(0, t) = y(5, t) = 0,
y(x,0) = 0, and
i)
= 5 sin nx,
whenn t= 0
%3D
at
ay
= 3 sin 2nx - 2 sin 5nx ,
ii)
at
whenn t = 0

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