function H=heun(f,a,b,ya,M)

%Input   - f is the function 
%        - a and b are the left and right endpoints
%        - ya is the initial condition y(a)
%        - M is the number of steps
%Output  - H=[T' Y'] with the values for the approximate solution 
%          


h=(b-a)/M;
T=zeros(1,M+1);
Y=zeros(1,M+1);
T=a:h:b;
Y(1)=ya;
for j=1:M
   k1=feval(f,T(j),Y(j));
   k2=feval(f,T(j+1),Y(j)+h*k1); 
   Y(j+1)=Y(j)+(h/2)*(k1+k2);
end

H=[T' Y'];