# Problem 2: (a) Suppose you are given the differential equation Divide the equation be u and...

###### Question:

Problem 2: (a) Suppose you are given the differential equation Divide the equation be u and rescale time to show this can be written as Give the expression for t and λ in terms of t, wo and wi. (b) Assuming λ « 1, write the solution of the formiz(t)-Σοοολ"rn(t). Plugging this into equation (5), show you can write the equation as Σλ"(afr" + r"-Σ ntEn- r.r.)=0 46m-1 (c) Assume that each term in the sum over n must separately vanish. Write the resulting , 피(w) equations for n = 0and n = 1. Write the solution for the fourier transform of given rolt) , ao cos i. d) For this series to converge, we should have What constraint does this imply for the amplitude ao

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