d"u d*u Solve the wave equation a2 0 < x < L, t > 0 (see (1) in Section 12.4) subject to the given conditions 8x2 at2
u(o, t) = 0, u(r , t) = 0, t > 0 du u(x, 0) = Zx? x2) , =0, 0 < X < I at t = 0
u(x, t)
(-1)n+1cos (nat )sin (ntx)
n =
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