27.23 Use finite differences to solve the ordinary differential equation d2u/dx2 + 7 du/dx u = 2 given boundary conditions u(0) = 10 and u(2) = 1. Plot the results of u versus x. Use x = 0.1.

Represent the first and second derivatives with centered finite divided differences of error order h2, see Figure 23.3. Use Excel and POLYMATH as appropriate.