DO NOT ANSWER THIS QUESTION WITHOUT MATLAB!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

USE MATLAB TO PLOT THIS PROBLEM

HERE IS MY MATLAB CODE. FIX MY MATLAB CODE WITH EXISTING LINES IN PLACE. DON'T USE TRAPZ OR ANY COMMAND THAT IM NOT FAMILIAR WITH.

YOUR ANSWER MUST HAVE A MATLAB CODE AND ITS RESULT THAT MATCHES THE PROVIDED SOLUTION

x = 0:1:4;

N = 60;

for n = 1:N

Cn = (1/(2*pi*(2*n-1)))*(8*sin((2*n - 1)*pi/2) - 16*sin(n*pi/2 - pi/4));

Vn = cos(0.25*x*((2*pi*n - pi)/2));

F = Cn*Vn;

end

plot(x,F);

figure(2)

xlabel('x')

ylabel('y')

grid on

set(gca,'XAxisLocation','origin','YAxisLocation','origin')

ITS SOLUTION

In each of Problems 1-6, find the expansion of f(x) in the eigenfunctions of the given Sturm-Liouville problem. Compare graphs of the function and the N th partial sums of the series for the given N. Also use the convergence theorem to determine what this eigenfunction expansion converges to on the relevant open interval. y+y=0;y(0)=y(4)=0f(x)={11for0x2,for2