2. An object attached to the end of a spring is modeled by the ODE my" + by' + ky = Fexternal derived fromHooke's Law. y(t) is the displacement of the object from its equilibrium position (where the object naturallywants to be), m is the mass of the object, b is the damping coefficient, k is the spring constant, and Fexternal isan external force acting on the system. Write and solve the ODE using the Laplace Transform if the massof the object is 1kg, the spring constant is 4 N, and the damping coefficient is 4 Ns. The object is struck bya hammer at time = 10 seconds. The initial displacement of the object is 1m, and the initial velocity of theobject is 0.m

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Answered: 2. An object attached to the end of a…

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