As discussed in class: create a computer program that will numerically solve the equation:

- d2u/dx2 + u = x

du/dx = 0 at x=0,1.

Please submit the homework on paper.

If you get stuck, please ask in class. I prefer that you ask in class than that you come to office hours. If you are still stuck after we go over it in class, then come to office hours. Look at Section 8.1 for ideas.

Include the code, a brief explanation of the code, and a plot of the answer. Full credit will only be given if you include x=0,1 on the plot.

please show how to do this with matlab and show the plot for the solution thank you

Here is an example:

Here is the example for - d2u/dx2 + u=1

x bigger or equal to 0 and lesser or equal to 1

u(0)=u(1)=0 solve numerically mesh xi =1

0

h=1

n=100; h=1; A=zeros(n-1, n-1); for i=1:n-1, if (i-1)0) A(i,i-1)=-1/h^2; end if (i+1<>