a MATLAB code would be very helpful

Langevin equation is used to model Brownian motion of a particle immersed in a viscous environment. Here is one way of writing it; mtza-v ** + V2ykgT(t) where, m is the mass of the particle, y is microscopic friction, kb is the Boltzmann constant, T is temperature and (t) is a vector pointing at random direction at each time step having a magnitude that is picked out of normal distribution with standard deviation equals to one. Write a computer code to simulate this system. Start the system from the center and run it several (thousand) times. Each time you run, save the data of the square of the distance travelled away from the center. Show, numerically, that the average of the square of the distance is linearly increasing with time. Show that, in accordance with Einstein's formula, the slope of this linear dependence is equal to 2kpT/y. Langevin equation is used to model Brownian motion of a particle immersed in a viscous environment. Here is one way of writing it; mtza-v ** + V2ykgT(t) where, m is the mass of the particle, y is microscopic friction, kb is the Boltzmann constant, T is temperature and (t) is a vector pointing at random direction at each time step having a magnitude that is picked out of normal distribution with standard deviation equals to one. Write a computer code to simulate this system. Start the system from the center and run it several (thousand) times. Each time you run, save the data of the square of the distance travelled away from the center. Show, numerically, that the average of the square of the distance is linearly increasing with time. Show that, in accordance with Einstein's formula, the slope of this linear dependence is equal to 2kpT/y