Problem-.9 (5!? points): The deflection y in a si.n1pl:,r supported beam with a uniform load q and a tensile axial load T is given by day Ty _ MU I} are? 131 2E! ' where .r is the location along the beam {in}, T is the tension applied {lbs}, E is the Young's modulus of elastieitg,r of the beam {psi}, I second moment of area {ind}, q uniform loading intensity [lbfinL L is the length of beam {in}. The simply supported beam is shown in the following gure. Given, T = T2130 lbs, I; = 5400 lbsfin, L = 75 in, E = 3fsi, and l' =12l'lz'n". (a) Find the deflection of the beam at :I.' = 5|] in, use a stepsize of h = 25 in, and approximate the derimtivee by eentral difference approximation. [h] Find the exact solution of the ODE. [c] Find the relative error