Solve the linear boundary value problem u_xx-u = -x-2sin(x) u(0)=0, u(pi)=pi Use finite differences to get a linear system and solve with a matrix solver using Matlab or whatever language you use. Let h = pi/1000. Plot the solution and give the error sigma_i=1^1000 (u_i^a - u_i^t)^2 h where and u_i^a and u_i^t represent the numerical and exact solutions respectively. The exact solution is u = x + sin(x). Solve the linear boundary value problem u_xx-u = -x-2sin(x) u(0)=0, u(pi)=pi Use finite differences to get a linear system and solve with a matrix solver using Matlab or whatever language you use. Let h = pi/1000. Plot the solution and give the error sigma_i=1^1000 (u_i^a - u_i^t)^2 h where and u_i^a and u_i^t represent the numerical and exact solutions respectively. The exact solution is u = x + sin(x)