A mass of 4kg stretches a spring 20cm. Suppose the mass is displaced an additional 6cm in the positive (downward) direction and then released. Suppose that the damping constant is 1 N. s/m and assume g = 9.8 m/s² is the gravitational acceleration. (a) Set up a differential equation that describes this system. Let a to denote the displacement, in meters, of the mass from its equilibrium position, and give your answer in terms of x, x',x". (b) Enter the initial conditions: x(0) x' (0) m₁ m/s

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