In: Advanced Math
The differential equation of motion of ship is given by M d2x/dt2 + C dx/dt + Kx = F + F2*exp(-2t). t >0.
when M = 4.8, C = 3, K = 5, F = 3.8, F2 = 3, x(t=0)=1 and dx/dt (t=0)= 1.
Find:
a)the order of X(s) and the number of poles & Find all poles of X(s)
b)Determine the stability of system.