The 2 DOF aeroelastic motion of a wing carrying out pitching and plunging motions is governed by the following system of ODES: +D dah d'a Mih +M dt? a dh + Mah dh +K 2+1.2a = 0 dt dt? + Dal da dt +K, (1+kuzh?)a-0.7a=0 aa dt? dt Using RK4 method calculate the vertical displacement h(t) and the angle of attack a(t) up to 100 seconds. Select step size so that the results converge. Plot h(t) and a(t). Da = 0.1 h(0)=0 h'(0) = 0 a(0)=0.01rad a'(0)=0 and M = 1 M = 2.9 K = 0.2 Maa = 2.25 Ka = 1.25 Man = 0.25 knz = 20 D = 0.05 The 2 DOF aeroelastic motion of a wing carrying out pitching and plunging motions is governed by the following system of ODES: +D dah d'a Mih +M dt? a dh + Mah dh +K 2+1.2a = 0 dt dt? + Dal da dt +K, (1+kuzh?)a-0.7a=0 aa dt? dt Using RK4 method calculate the vertical displacement h(t) and the angle of attack a(t) up to 100 seconds. Select step size so that the results converge. Plot h(t) and a(t). Da = 0.1 h(0)=0 h'(0) = 0 a(0)=0.01rad a'(0)=0 and M = 1 M = 2.9 K = 0.2 Maa = 2.25 Ka = 1.25 Man = 0.25 knz = 20 D = 0.05