2) A differential equation with boundary conditions is given below: (FINITE ELEMENTS ANALYSIS) 22 dau dx2 + 2x du +2 = 0 < < 4 du u(1) = 1 and u(4) = 0 (a) Try the Galerkin technique in following steps. Solve the problem for three element through (1,4) a) Derive the weak formulation b) Compute element matrices and vectors for the given mesh discretization using linear shape funtions. c) Assemle them into the global matrix and vector d) Apply the boundary conditions to the matrix equations and solve for unknown nodal values