s'' + bs' + 7s = 0,
find the values of b > 0 that make the general solution overdamped, underdamped, or 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 -1 < b ? 1 and 3 ? b < ?, enter (-1,1], [3, infinity); if it is overdamped only for b = 3, enter [3,3].)
If the equation is overdamped, b ? (sqrt28, infinity)
If the equation is underdamped, b ? (0,7)
If the equation is critically damped, b ? [sqrt28,sqrt28]