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3. Using the Newton's second law model for a vibrating spring with damping and no forcing, my +by +ky=0, find the equation of motion if

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3. Using the Newton's second law model for a vibrating spring with damping and no forcing, my "+by +ky=0, find the equation of motion if m=10 kg, b=60 kg/sec, k=250 kg/sec2, y(0)=0.3 , and y (0)=-0.1 m/sec. What is the position of the mass after 1 second? Show all work

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