6) Considering that the aircraft with the following characteristics only makes a pitching motion: a) Write the linearized differential equation in matrix format for fixed rudder. (Za=0) Ax=AAx b) Find the

undamped natural frequency. c) If the solution of the characteristic equation is as follows, λ=-0.020±0.1954i Find the period and damping ratio. d) For initial values = 0,ȧ, Irad/s, solve a(t). a(t)=e" (c, cost+c₂ sin cot) e) Draw the graph of change in angle of attack with time.