Decide whether the system in Problem 1 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.

Data From Problem 1:

\(m \ddot{x}+b \dot{x}=e^{-2 t / 3}, m, b=\) const \(>0\)