- #1

Outlaw747

- 10

- 0

## Homework Statement

Data suggests rate of growth of bacteria is proportional to the tangent function evaluated on the amount of bacteria present at time t, up to 1.5 mg. After 1.5 mg, value maintained. pi/6 to pi/3 mg growth in 1 hour. How would I write a DE equation based on this? I'm not asking how to solve it but to set the equation up.

## Homework Equations

dP/dt = kP

P(t) = P-initial * e^(kt)

## The Attempt at a Solution

I am not really sure how to go about this. If we use the second equation isn't that based off another growth model? If I have dP/dt = tan (t) , that doesn't really make sense. Just need a push in the right direction if possible. Tried a few different attempts but none really worked.