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    Separation of Variables : Vibrating Membrane in Wave Equation

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    1. Obtain the solution to the initial-value problem (1) for the given f(x, y), a, and b, and give the relations that define the nodal lines of w, if any. Let c=1 in each case.
    (e) f(x, y) = 1.05 sin 3x sin y - sin x sin 3y, a = pi, b = 2pi.

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