# Using lists to create function to automate Runge-Kutta Method

I'm in a differential equations class in which we're expected to use computers to solve some of the problems. My professor uses Maple, but I'm choosing to use Sage because it won't cost me hundreds of dollars. I have a very limited CS background.

One part of our homework this week is to estimate the value of y(x_n) given dy/dx = f(x,y) and y(x_0) = y_0 using the Runge-Kutta Method. I know this shouldn't be that hard to do in Sage, but I'm having a hard time figuring this out. Any pointers?