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Using the Newton’s second law model for a vibrating mass-spring system with damping and no forcing,...

Using the Newton’s second law model for a vibrating mass-spring system with damping and no forcing, 〖my〗^''+by^'+ky=0, find the equation of motion if m=10 kg, b=40 kg/sec, k=240 kg/sec2, y(0)=1.0, and y^' (0)=0.0 m/sec.

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