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Find the ratio of Beta to Omega(not) for an underdamped oscillator whose amplitude decreases to 10%...

Find the ratio of Beta to Omega(not) for an underdamped oscillator whose amplitude decreases to 10% of its initial value after 4 periods. Explain each step.

For an underdamped oscillator Beta < Omega(not)

x(t) = e^-(beta*t)[Ae^(i(w1)*t) + Be^-(i(w1)*t)]

where "w1" = Root([Omega(not)^2] - Beta^2)

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