a) A flexible string of length is tightly stretched between x = 0, x = π, on x-axis, its ends being fixed at these points. When set into small transverse vibration, the displacement y(x, t) from x-axis of any point x at time t is given by Find the solution of equation which satisfies y(0, t) = 0, y(π, t) = 0, at/t=0 = 0 and y(x, 0) = 0.1 sin x + 0.001 sin 4x for 0 < x≤n. = 4 ax²¹

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