6.2 Differential Equations: Growth and Decay + Logistic

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A population is modeled by the function

 $y\left(t\right)$  that satisfies the logistic differential equation  $\frac{dy}{dt}=2y\left(1-\frac{y}{5}\right)$  

For what value of y is the population growing the fastest?

• y = 2.5

• y = 5

• y = 1

• y = 2

The population of the little town of Scorpion Gulch is now 1000 people. The population is presently growing at about 5% per year.

Find the general solution.

• P=.05e^1000t

• P=1000e^5t

• P=1000e^.05t

• p=lne^1000t

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

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