For the differential equation s′′+bs′+8s=0,s″+bs′+8s=0, find the values of b>0b>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

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.