Consider a harmonic oscillator with mass m = 1 and spring
Chapter , Problem 34(choose chapter or problem)
Consider a harmonic oscillator with mass m = 1 and spring constant k = 3, and let the damping coefficient b be a parameter. Then the motion of the oscillator is modeled by the equation d2 y dt2 + b dy dt + 3y = 0. For what value of b does the typical solution approach the equilibrium position most rapidly? (The equilibrium position is the point (y, v) = (0, 0) where v = dy/dt.)
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