Starting with an initial value of ​P(0)equals50​, the population of a prairie dog community grows at a rate of Pprime​(t)equals20minusStartFraction t Over 5 EndFraction
​(in units of prairie​ dogs/month), for 0less than or equalstless than or equals100.
a. What is the population 9 months​ later?
b. Find the population​ P(t) for 0less than or equalstless than or equals100.