Assume that a violin string of length 10 is held so that at time zero its shape is given by the function:
f(x) = (x/4) at (0< x < 4), (-x/6 +10/6) at (4< x <10)
and released, so that its initial velocity is zero. Find the function u(x,t) that describes the height of the point x of the string at time t. Use 5 terms of your series to determine the position of the midpoint of the string at time t =5.
We only barely covered partial differentials in class so any help would be useful.
2007-07-08
08:31:48
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1 answers
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asked by
Nate-dawg
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in
Mathematics