Consider the harmonic oscillator equation with two forcing

Chapter , Problem 4

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Consider the harmonic oscillator equation with two forcing terms d2 y dt2 + p dy dt + qy = cos 1t + cos 2t. Suppose p > 0 is fixed. (a) How should q be chosen so that the term in the forced response with angular frequency 1 has the largest amplitude? (b) How large is the amplitude of the term in the forced response with angular frequency 2?

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