Numerical Methods - Euler vs. Runge Kutta 4

I&redoing my tilting bead model. Does it make a difference if I use Runge Kutta 4 instead of the Euler-Cromer? What the heck is Runge-Kutta anyway? Here is the code Introduction to Lagrangian Lagrangian for tilting wire with bead Modeling tilting wire with bead in python