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13) (10.7) A string of length 2 coincides with the interval [0,2] on the x-axis. The ends are secured to the x-axis. The string is released with an initial displacement of sin(2x) and an initial velocity of 6sin(3x) Assume the string satisfies all the assumptions of the wave equation with a = 3. Set up a boundary-value problem for the vertical displacement u(x, t) of the vibrating string.
13) For u(x,t), 0 ≤ x ≤ 2, t > 0 อใน อใน 9 0 < x < 2, t > 0 At2 Oxe' ชน u(x, 0) = sin(2x), , 0 = 6sin(3x), 0 < x < 2 at u(0,t) = 0, u(2,t) = 0, t > 0