Problem $7/$ Part $2$

Consider the following differential equation in which $N>0$ is proportional to the population of

cells in a tumor:

$N^{\text{'}}=-$aNln$(\frac{N}{b}),a,b>0.$

Now set $a=1,b=10$ for the remainder of the problem.

Using phase line analysis graph the curve in the $N-N^{\text{'}}$ plane and determine the stability of

the equilibria you find. Use the next cell code to graph this. Make sure that your graph is

generated here.

State what happens for any initial condition.

Give biological interpretations of the parameters a and $b.$

IMPORTANT. You will need to load your by$-$hand solutions for the second and third questions in:

I KNOW THE CODE $-$ I DO NOT UNDERSTAND HOW TO DO IT BY HAND AND NEED HELP WITH SOLVING THIS BY HAND