Question

Now that we have seen Euler in action, let's return to examining the content of the M-File Euler.m. We have already explained the first line, where we defined the parameters our function takes. To see the meaning behind the third and fourth lines, type:

>> x = zeros(10,1);
y = zeros(10,1);
[x,y]

Thus we can see that the third and fourth lines of our M-File zero out the contents of our arrays x and y before we begin. Now, you'll continue examining our code.

Question: In your Word document, briefly explain what is happening in each remaining line of the M-File Euler.m.

The M-File is:

function [x,y] = Euler(h, x0, y0, interval_length, func)
nsteps = floor(interval_length/h) + 1;
x = zeros(nsteps,1);
y = zeros(nsteps,1);
x(1) = x0;
y(1) = y0;
for i=2:nsteps
    y(i) = y(i-1) + h* func(x(i-1), y(i-1));
    x(i) = x(i-1) + h;
end

Answer 1