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

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.6: Additional Trigonometric Graphs

Problem 78E

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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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