Consider the given initial value problem: yâ²â²+3yâ²+2y=0, y(0)=1, yâ²(0)=1. a. Explain why the IVP can represent a mass-spring system. In your explanation, you need to describe the systemâs attributes including initial displacement and initial velocity.
b. Classify the mass-spring system
c. Find the systemâs damping coefficient and spring constant.
d. Is there any external force on the system? Explain why or why not.
e. Use the answers from (a) to (d) above to describe how the system should behave. You need to include its long-run behavior of the system.