x=[0:0.1:10];
y0=0;
y=0.5*x.^2+y0;
figure(1)
hold off
a=plot(x,y,'b');
set(a,'Linewidth',2)
%step size
h=1.0;
% Euler's method, forward finite difference
xt=[0:h:10];
N=length(xt);
yt=zeros(N,1);
yt(1)=y0;
for n=2:N
    yt(n)=yt(n-1)+h*xt(n-1)
end
hold on
a=plot(xt,yt,'r');
set(a,'Linewidth',2)