Linear algebraic equations can arise in the solution of differential equations. For example, the following differential equation results from a steady-state mass balance for a chemical in a one-dimensional canal:

0=D*(((d^2)c)/(d*x^2))-U((d*c)/(d*x ))-k*c

Where c=concentration, t=time, x=distance, D=diffusion coefficient, U=fluid velocity, and k=a first-order decay rate. Convert this differential equation to an equivalent system of simulations algebraic equations. Given D=2, U=1, k=0.2, c(0)=80 and c(10)=10, solve these equations from x=0 to 10 and develop a plot of concentration versus distance.

How do you transform the differential equation into a system into linear equations?