Use the Cubic Spline Algorithm with n = 3 to approximate the solution to each of the following boundary-value problems, and compare the results to the actual solutions given in Exercises 1 and 2:
a. y" + π2/4 y = π2/16 cos π/4 x, 0 ≤ x ≤ 1, y(0) = 0, y(1) = 0
b. - d / dx (xy') + 4y = 4x2 − 8x + 1, 0 ≤ x ≤ 1, y(0) = 0, y(1) = 0