Show that the ratio of two consecutive maximum amplitudes of a damped oscillation (10) is constant, and

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Show that the ratio of two consecutive maximum amplitudes of a damped oscillation (10) is constant, and the natural logarithm of this ratio, called the logarithmic decrement, equals ∆ = 2πα/w*. Find ∆ for the solutions of y" + 2y' + 5y = 0.
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