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The free oscillations of a lightly damped elastic system are given by the equation: d + 2 it + 1 =0, where y is the displacement from the equilibrium position. when time (i) t = 0, y = 0 and (ii) t = 0, dt =0. (a) Express the above equation with y as the subject using the Laplace transform. [12 marks] (b) Solve for the displacement function y using the inverse Laplace transform. [13 marks]