Find the range of values of \(b\) for which a system described by \(\ddot{y}-(b-1) \dot{y}-y=F(t)\) is stable. A linear dynamic system is stable if the homogeneous solution of its mathematical model, subjected to the prescribed initial conditions, decays. More practically, a linear system is stable if all the eigenvalues of its state matrix have negative real parts; that is, they all lie in the left half plane.