Question 4[1721 Marks] The deflection w of a uniform length beam with an elastic support under a given external load is described by Equation (4.1). 4xdx2d2w+2dxdw+2w=0 (a) using four terms of power series, find a general solution for the deflection w of the uniform beam, [10 Marks] (b) express the final answer in (a) in a simplified sigma notation, and [21/2 Marks] (c) given that at x=0m,w=21m and w=21, determine the deflection w when x=5 and 8m. [5 Marks]