Problem 1 Consider finite difference method to approximate the solution to BVP on [0, 1] y" = (1+t)y y(0) = 1 y(1)=2 With n=3. Set up the system of equations for w, and solve the system. (You can use technology to solve the system. In this case, there is no need to show the work of solving the system.) Problem 2 Consider finite difference method to approximate the solution to BVP on [1, 2] y" = 18y² y(1) y(2) = 11 12 With n=3. Set up the system of nonlinear equations for w; and find its Jacobian.