For a thick pressure vessel of inner radius, a and outer radius b, the differential equation for the radial displacement u of a point along the thickness is given by: du 1 du U + dr r dr r = 0 Using finite difference approximations du dr du dr U+1 - 2u; + U-1 (Ar) U+1 - U Ar Develop the discretized equations for displacement of equation I Using a 5" and b = 8" using Ar=0.6" develop the system of equations for estimating displacements ( Strains) at each nodes. (number of nodes n = (b-a)/Ar = (8-5)/0.6 = 5 Solve the system of equations using Gauss Eliminations methods to get the stress at each node.( show your work in details