Unformatted text preview: , = 0, , 0 = 20, , 0 = 0. A vibrating string with tension constant a=2 ( = 4 has length 10 and the ends are clamped at
the xaxis. The string is held at a position 20 above equilibrium and released from rest (zero
velocity). 3
4.) [10 points] The ends of a metal bar of length L with thermal diffusivity constant k are
insulated so that no heat flows in or out through the ends. Assuming the initial temperature
profile of the bar is
,0 =
and no heat is lost or gained along the length of the bar, use
separation of variables to derive a solution to the onedimensional heat equation. You may...
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This document was uploaded on 03/10/2014 for the course MATH 335 at Citadel.
 Fall '09
 Math

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