this is a matlab question. solve the question only if you are sure on how to do it correct.

The second order differential equation (see picture) describes the movement of a pendulum. is the angel and is the angular velocity, L=4 (length of the rope) and g=9,82 m/(s^2). The differential equation can be written as a system of first order differential equations, the system looks like the following:

x1=x2, x1(0)=pi/3, x2=-(g/L)sin(x1), x2(0)=0.

Solve this system with a Runge-kutta4 (do not use a function handle, it has to be hand made). Chose a time interval [0,T], which allows the pendulum to swing about two whole periods. Then plot the angel and angel velocity as a function of time.

det + sin(a) = 0, 6(0) = el 10) = 0, += [0, 1] 2012 0, t=