Originally Posted by

**BWilson** That was a very helpful post. So, if I am doing this right, I can estimate

the following for a time step and init. value of 1:

k1 to be the initial value of x^2 (0 to begin with) which is 0;

k2 to be f(0+1/2) = .5^2 = .25;

k3 to be f(0+1/2) = .5^2 = .25 (so previous k's aren't even affecting values?)

k4 to be f(0+1) = 1^2 = 1

final answer to be 1 + (1/6)(0 + .25(2) + .25(2) + 1) = 4/3

I guess what confused me was that, for example, k2 had no effect on k3 in

this particular case. Anyway, thank you for clarifying. I'm still not sure if I've got this down, so if anyone would care to correct my work above, please do.