2. [5 points total] You are solving a problem involving a damped pendulum. The differential equation that is obeyed by the pendulum the form 0 _ g, df a2 =~ 1 Pt where @is the angular displacement, g is acceleration due to gravity on the moon (1.625 ms?), [ is the length of the pendulum (5 cm), and p is a damping factor (0.35 s'!). The initial position of the pendulum 1s at = 0.4. a. [2 points] Write the differential equation as a pair of first order equations. b. [3 points] Use MATLAB to solve the equation using ode45 and plot the angular displacement as a function of time at 10 ms intervals from 0 to 30 s