The differential equation in example 3 of section 2.1 is a well-known population model. suppose the de is changed to dp dt = p(ap − b), where a and b are positive constants. discuss what happens to the population p as time t increases.

Decreases

Step-by-step explanation:

We need to determine the integral of the DE;

We can solve this by integration by parts on the left side. We expand the fraction 1/P²:

let

Substitute u in:

Therefore the equation is:

We simplify:

As t increases to infinity P will decrease

dhhghghghhrhbb it 5

d

step-by-step explanation:

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11 -1> 1 -1+ a

-12 > a