f = @(t,y) y.^2 - t;
y0 = 1;
tspan = [0 1.05]; % tspan = [0 1.5];
opts = odeset('RelTol',1e-12,'AbsTol',1e-14);
[t1,y1] = ode45(f,tspan,y0,opts);
plot(t1,y1)
print -dpng "plot.png"