Write down a differential equation of the form dy/dt = ay + b whose solutions have the required behavior as t → ∞. all other solutions diverge from y = 2.

We have that the differential equation of the form dy/dt = ay + b whose solutions have the required behavior as t → ∞. all other solutions diverge from y = 2 is

From the Question we are told that

Generally,

Where

Therefore

Substituting

Then all other solutions diverge from

Therefore

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The ODE has an equilibrium point at

We want to be an unstable equilibrium solution - in other words, we want all solutions with initial condition for near 2 to diverge from - so .

Divergence from would require that for , any solution is increasing, and for , and solution is decreasing. In order for that to happen, we need

if , and

if .

Now we just pick to satisfy these conditions. An easy choice is , which forces , so that one possible ODE would be

I've attached a plot of the slope field to demonstrate the behavior of the solutions.

javeir earned 56 dollors more than kyle so kyle and javier had 14w but javier made 56 dollors more so 14w plus 56 equals 70w so kyle has 14w

step-by-step explanation: hope i plz give me brainliest with the points so this is not constant cause it says last week so its clearly not every week