Bonjour Daniele,
Does It looks like this :
" Bug nr. 23. (Grapher 2.0).
nth derivatives of functions : there was no limit for n in Curvus Pro X 1.3.2 or Grapher 1.1. Unfortunately Grapher 2.0 recognize the first derivatives only, y' dy/dx ; y'' y''' d^5/dx^5 can't be used anymore. First order differential equations only can be entered. Second order differential equations from menu Equation > New Equation from Template... > Differential Equation, are not accepted By Grapher 2.0.
THIS IS THE WORST BUG : NO REMEDY, REDUCING GREATLY GRAPHER'S CAPABILITY.
— Bug resolved in Grapher 2.1. (THIS IS GREAT ! ) "
I tried your "Harmonic oscillator", it's OK in Grapher 2.1 (Snow Leopard) the result is y = e exp x (e^x) and the curve is better in Euler method than in Runge Kutta 4 one (see Inspector).
About integrate x^2 from 0 to x : the curve is OK in Grapher 2.1 that is y = (x^3)/3.
I ll' be able to do more about "integrales", "equations differentielles" and new bugs around 10th August, my son will be here with his MacBook Pro OS X Lion.
So long
Yves