Answered: Solve the wave equation a - u(0,t) = 0,… | bartleby

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Solve the wave equation a
-
u(0,t) = 0, u(L,t) = 0, t> 0
u(x, 0) = x(L - x),
Ju
at
,0<x<L, t> 0 (see (1) in Section 12.4) subject to the given conditions.
■ 0, 0 < x <L
u(x, t)=0
0
+
Σ
17 1
(n)
(1-(-1)n) cos(an) I sin ("AL) )
(−1)n)cos
x

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