QUESTION 5 Determine the unique solution of the following differential equation by using Laplace transforms: y"+ 4y = 3H(t 4)The initial values of the equation are y(0) =1 andy'(0) = 0. [9] QUESTION 6 2. . Determine the current i in the circuit where % +6% +13i = 0 if i(0) = 24 and i'(0) = 4, by using Laplace transforms. [8] QUESTION 7 dzx dtz +100x = 36cos8t. If The motion of a mass on a spring is described by the differential equation x = 0 and % = 0, at t = 0 find the steady state solution for x(t) and discuss the motion. [11]