MATLAB: Need help with problem

bvp

what is wrong in this code i dont get the correct answer
xleft=0;
xright=(9*pi)/4;
N=20;
x=linspace(xleft,xright,N);
x=x';
dx=(xright-xleft)/(N-1);
yleft=1;
yright=1;
a=1;
b=-2;
c=-2;
% M is the matrix when multiplied by y gives y'' y' and y
M2=(diag(-2*ones(N,1),0)+diag(ones(N-1,1),-1)+diag(ones(N-1,1),1))/dx^2;
M1=(diag(ones(N-1,1),1)-diag(ones(N-1,1),-1))/(2*dx);
M0=eye(N);
M=a*M2+b*M1+c*M0;
%treating boundaries separate
M(1,:)=[1,zeros(1,N-1)];
M(end,:)=[zeros(1,N-1),1];
k=(sin(x))/((cos(x))+2);
k(1) = yleft;
k(end) = yright;
y=M\k

Best Answer

is my code correct i dont get the correct answer
Then by definition, it is not correct...