Consider the one-dimensional wave equation 9u, = u+, with o 0 u(x,0) = 0 U¿(x,0) = 8x(1– x²) Use the variable separation method to find the solution to this problem.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 98E
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Please detail it as much as you can 'cause I'm having a hard time with method of separation of variables 

Consider the one-dimensional wave equation 9u = ut, with o < x < 2, in limited
domains like:
u(0, t) = u(2, t) = 0; t > 0
и(х, 0) — 0
и,(х, 0) %3D 8x(1 — х?)
=
Use the variable separation method to find the solution to this problem.
Transcribed Image Text:Consider the one-dimensional wave equation 9u = ut, with o < x < 2, in limited domains like: u(0, t) = u(2, t) = 0; t > 0 и(х, 0) — 0 и,(х, 0) %3D 8x(1 — х?) = Use the variable separation method to find the solution to this problem.
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