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

I WILL DOWNVOTE IF YOU DO NOT USE MATLAB

USE MATLAB TO PLOT THIS PROBLEM

MY CODE ISN'T WORKING, SO COPY THE CODE BELOW AND FIX THE CODE

x = -3*pi:1:3*pi;

N = 5;

for n = 1:N

a0 = 3*pi^2;

an = (1*n^2)*36*(-1)^n;

F = a0 + an;

end

plot(x,F);

figure(3)

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. 5. y+y=0;y(3)=y(3),y(3)=y(3) f(x)=x2 for 3x3,N=5 32+36n=1n2(1)ncos(3nx)