CPM Homework Help : APCALC Problem 10-35

For each of the following differential equations, answer the questions below..

Hint i:

This occurs when the derivative is a maximum.

Hint ii:

This can be revealed by sketching the slope field.

i. When is $y(t)$ changing the fastest?
ii. What is $\lim\limits _ { t \rightarrow \infty } y ( t )$ ?
iii. Sketch a slope field.
1. $\frac { d y } { d t } = 2 y ( 1 - y )$
1. $\frac { d y } { d t } = 2 y - y ^ { 2 }$

Use the eTool below to generate the slope fields.
Click the link at right for the full version of the eTool: Slope Field Generator