Considering a system of N coupled oscillators associated with a frequency ω (ω < 2ω0). That is, y0 = 0 and yN+1 = h cos(

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Considering a system of N coupled
oscillators associated with a frequency ω (ω < 2ω0). That is, y0
= 0 and yN+1 = h cos(ωt). Find the resulting amplitudes of the N
oscillators. [Hint: The differential equations of motion are the
same as in the undriven case (only the boundary conditions are
different). Hence Ap =C sin(αp) can be tested, thus determining the
necessary values of α and C. (Note: If ω < 2ω0, α is complex and
waves damp exponentially in space.)]