(a) Solve the initial-value problem and show that sint, n even yt{ 0 nodd in the

Chapter 2, Problem 8

(choose chapter or problem)

(a) Solve the initial-value problem and show that sint, n even yt{ 0 nodd in the interval ns < t < (n + 1)s. (b) Solve the initial-value problem and show that y (t) = (n + I) sin t in the interval 2ns < t < 2(n + 1)~. This example indicates why soldiers are instructed to break cadence when marching across a bridge. To wit, if the soldiers are in step with the natural frequency of the steel in the bridge, then a resonance situation of the type (b) may be set up.

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