TEAM PROJECT. Two Masses on Springs. $($a$)$ Set up the model for the $($undamped$)$ system in Fig. $81.($b$)$ Solve the system of ODEs obtained. Hint. Try $y=x{e}^t$ and set ${}^2=.$ Proceed as in Example $1$ or $2.($c$)$ Describe the influence of initial conditions on the possible kind of motions.

System in static equilibrium

System in motion

Fig. $81.$ Mechanical system in Team Project