Task 3 : Analysis of the singe spring-mass system (as defined in Task 2)using state space equations. 1. Develop a state space equation model for the system, considering u(t) the

input and y(t) the output. 2. Find the eigenvalues of the system. Compare them to the poles obtained in Task 2. 3. Compute the state transition matrix O= e^-4t. Express the complete solution of the state space equation, in time-domain, with a general input u(t). 5. Examine to see if the system has complete reachability and observability.