A critically damped oscillator is represented by  ̈x + 4  ̇x + 4 x = 0, where the coefficients are in SI units. It is initially at x = 0 with velocity 6 m s−1 . What is the maximum displacement

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A critically damped oscillator is represented by  ̈x + 4  ̇x + 4 x = 0, where the coefficients
are in SI units. It is initially at x = 0 with velocity 6 m s−1

. What is the maximum displacement

of the oscillator from the origin?

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