Pendulum. A simplified mathematical model of an oscillating pendulum is given byd 2 θ dt2 + sin θ = 0. (6)Convert the second-order ODE, Eq. (6), as a system of two first-order ODEs. Next, write a function named pendulum. m that takes as input t (time) and X = [*;*] (column vector of variables θ, ˙θ) and returns the right-hand side of the ODE system. Figure 1: The pendulum. Next, create a script named pendulum_main. m that solves the ODE for theta0 = pi/4, thetadot0 = 0 and tmax = 20; use the ode45() function for that. Still in the same script, call the function animate. m