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Using the Newton’s second law model for a vibrating spring with damping and no forcing, my"+by'+ky=0,...

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=10kg, b=60kg/sec, k=50kg/sec^2, y(0)=0.3, and y'(0)=-0.1m/sec. What is the mass after 1 second? Show all work.

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