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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=10 kg, b=60 kg/sec, k=50 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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