Chapter 27, Problem 23P

Use finite differences to solve the boundary-value ordinary differential equation

$\frac{d^{2}u}{d{x}^2}+6\frac{du}{dx}-u=2$

with boundary conditions $u\left(0\right)=10\text{ and u}\left(2\right)=1$. Plot the results of u versus x. Use $\Delta x=0.1$.