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0sxs 0.5
ди
u(x,0) =
1-(x – 1) 0.5 <x<1
ar (x, 0) = 0, 0 <x<1
Determine the variation of the displacement of the string by using the finite-
difference method for 0 <t < 0.3 s using Ax = 0.25 mm and At = 0.1 s.

(Ь)
An elastic string which is fixed at both ends is governed by the wave equation
a?u a?u
0sx<1, t2 0,
Where, u(x, t) is the displacement of the string. The initial conditions are given by

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