Unit 7 : Slope Fields & Modeling Differential Equations

Solution to $\frac{dy}{dt} = ky$

Directly Proportional

a=k*b

Inversely Proportional

$$a = \frac{k}{b}$$

Euler’s Method

Max Growth Rate : Logistics Graph

Point of inflection

Logistics Differential Equations (both variations)

TWO THINGS : ANSWER MOST AP LOGISTICS QUESTIONS

The maximum value of the logistics function is the limiting value L
The maximum rate happens when y`` changes from pos to neg