Consider the diagram of the solenoid shown below and the simplified differential equation attempting to describe its motion. Answer the following questions. mdt2d2x(t)+Ddtdx(t)Ki(t)=0 Explain the physical significance of the terms used Iin the equation. Express the above response as a transfer function of the form Q(s)=i(s)x(s) in Laplace space. Use the Final Value Theorem to demonstrate the system is unstable following a unit step-input function of 1 ampere. Explain your reasoning. How might you change the system to make it stable and better model the solenoid shown