Question 4 These questions are related to the applications of Engineering Mathematics. (a) The free oscillations of a lightly damped elastic system are given by the equation: d²y + 2- dt² + 5y = 0, dt given y(0) = 2 and y'(0) = 8, where y is the displacement from the equilibrium dy 0, position. If when time t = 0, y = 2 and dt displacement by using Laplace transform. determine an expression for the (b) xy + 2xy- + y Əxðy 0. If x - y show that ie

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