Is ode45 always calculate the entire function even if she has been asked only for specific values?

t0=0;
tf=5;
r=5;
s=1;
AnonFun=@(t,x)(r*x-s*x^2);
[t,x]=ode45(AnonFun,[t0,tf],1);
plot(t,x)

For example , if i write [t,x]=ode45(AnonFun,0:3,1);

does ode45 calculate the entire function ? or only this 3 points ?

I mean, will it do the full calculation in the background and return only 3 points?

Answer 1

[Torsten]

I mean, will it do the full calculation in the background and return only 3 points?

Yes, it will do the full calculation in the background. The array "tspan" is only set for output purposes - it doesn't influence the computations.

By the way: You specified four output points, not three (0,1,2,3).