Given the following heat equation and the boundary and initial conditions,u, = 6u,u(0,t)= u(2,t)=0,t>0,u(x,0) = 3sin(7x).Use the separation of variables method to solve u(x,t).

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Answered: Given the following heat equation and…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Given the following heat equation and the boundary and initial conditions, и, 3 би,и, и(0,1) 3 и(2,1) — 0, t>0, u(x,0) = 3sin(7x). Use the separation of variables method to solve u(x,t).