Question: 35. Consider a harmonic oscillator with mass m = 1, spring constant k = 3, and a (fixed) damping coefficient b. Then the motion of

35. Consider a harmonic oscillator with mass m = 1, spring

35. Consider a harmonic oscillator with mass m = 1, spring constant k = 3, and a (fixed) damping coefficient b. Then the motion of the oscillator is modeled by the equation What is the quickest rate at which a solution can approach the equilibrium state? (The equilibrium state is the point (y, v) = (0, 0) where v = dy/dt. Your answer should depend on the value of b.)

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