Solving motion equation using ODE45

I need the solve these equations with ODE45 or Euler. Anyone can help ?

[James Tursa]

What have you done so far? What specific problems are you having with your code? Do you have initial conditions for all variables? Do you have values for p, q, and r?

[Muhammed Emin Yavuzaslan]

Actually, ı want to to integrate the dynamic model of a 6DOF flying missile. I have 12 differential equations ı have to solve them and yes, i have intial conditions for all variables

Answer 1

[Benjamin Thompson]

If you are looking for the inverse transformation to find p, q, r given the time derivative of the euler angles, see this reference.

http://www.stengel.mycpanel.princeton.edu/Quaternions.pdf