I need a python code in jupyter without using libraries.

Problem 3 (OPTIONAL, 10 marks): Using Runge-Kutta method to integrate an ODE In Section 9 of the course we learned how to integrate Ordinary Differential Equations. Use the examples given in Sec09_ODEs_2021_Updated where we integrate a particle orbit around the Earth. This time, The initial conditions are xo = -5 x 108 m, yo = 0, Uxo = 0, 0,0 = -300. The equation for the force is now slightly different: Gm (1 + Vrlro) mzf , r2 where my is the mass of the Earth, and ro = 4 x 108 m. Integrate the orbit for 10 seconds using the Runge-Kutta method with 10% points. Plot the orbit