The following differential equation models an electrical circuit where $()$ is the voltage of

the interest also called state.

$2()+4()+2()=$

Initial conditions: $(0)=1,(0)=1$

a$.$ Write your SID

b$.$ Is this circuit stable? Explain

c$.$ If stable what is the type of the system: Overdamped, under damped, critically damped,

undamped

d$.$ Find $().$ Note: You can use any method or information from the book