EM 4123/6123: Introduction to Finite Element Methods: Assignment 1 Assigned: Jan. 11, 2017, Due: Jan 18, 2017, 11.00am 20 Points per problem. Total: 80 Points For each of the following boundary value problems defined on domain re [0, 1], if the solution can be uniquely defined, solve for u(x), otherwise identify the general class of solutions. Plot u(z) and verify that the solution satisfies the specified boundary conditions. NOTE: Show all steps of solution. NOTE: It is not allowed to use symbolic mathematics software to solve the equations. 1.- 0, u(0)=0, u(1) = 2 2.- 2, u(0) = 0, du(0)=1 3.-0.-1.-1 = du(0) 4. 2, u(0) = 0, u(1)=0, d=0.0