QuestionFor the differential equation $$s^{\prime \prime}+b s^{\prime}+9 s=0$$ find all the values of $b$ that make the general solution overdamped, those that make it underdamped, and those that make it critically damped. (For each, give an interval or intervals for $b$ for which the equation is as indicated. Thus if the the equation is overdamped for all $b$ in the range $2<b \leq 3$ and $4 \leq b<\infty$, enter $(2,3]$, [4,infinity); if it is overdamped only for $b=3$, enter $[3,3]$.)
If the equation is overdamped, $b \in$ If the equation is underdamped, $b \in$ If the equation is critically damped, $b \in$