MATH 2410Q Final: Final Exam Spring 2017 Solutions

• School: UConn
• Department: Mathematics
• Course: MATH 2410Q

Document Summary

Clearly mark each answer: sketch the slope led of the autonomous di erential equation y = (y + 1)(y 3)2(y 5). Solution: discussed in class: sketch the slope led of the following di erential equation y = x y. Solution: discussed in class: a ve gallon tank has 1 gallon of pure water. We open a spigot so 1 gal. leaves the tank and introduce a mixture of 1/2 lb. per gal at 2 gal per minute. Let c(t) be amount of the mixture in the tank. V (t) , where is v (t) is the volume of the uid in the tank, which changes in time. Thus, c(0) = 0 and we need to nd. The mixture enters the tank at the rate of and leaves at the rate of. Thus, the rate of change rate for the amount of the mixture is. Hence the equation for the amount of the mixture is c (t) = 1 c(t)