suppose we have a 2m long rod whose temperature is given by the function u(x,t) for x on the beam and time t. Use separation of variables to solve the heat equation for this rod if the initial temperature is: u(x,0) ={e^x if 0 ≤x<1} {e^(2−x) if 1 ≤x<2} and the ends of the rod are always 0◦(i.e., u(0,t) = 0 = u(2,t)).

suppose we have a 2m long rod whose temperature is given by the function u(x,t) for x on the beam and time t. Use separation of variables to solve the heat equation for this rod if the initial temperature is: u(x,0) ={e^x if 0 ≤x<1} {e^(2−x) if 1 ≤x<2} and the ends of the rod are always 0◦(i.e., u(0,t) = 0 = u(2,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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