Preclass assignment due with problem set # 27

Reading : Stewart: 7.3: Separation of Variables ( p. 525 - mid 526 optional, read 526-527.):
Supplement: 31.3 Qualitative Analysis of Solutions to Autonomous Differential Equations (for the link, click on the link under Problem Set #28 or go to the supplements page of the website. Somehow the links won't work from here.

Note: the reading is 12 pages total.
Key areas of focus :
7.3: Orthogonal trajectories (pp. 525-6) are fascinating and are very useful in physics, but we won't devote course time to them. Let your interests determine how diligently to read that part. Pay attention to p. 526-7: we do want you to be able to do mixture problems. You might want to supplement the page in Stewart with pp. 1011-1014 in the Supplement
In the supplement, read all of 31.3

Reading Questions :
1. What does it mean for a first order differential equation to be autonomous
2. 7.5 #1a(just the carrying capacity - don't worry about k), and 1b (use the direction field to help you answer this.) (There is no need to read 7.5 in order to do this. The supplement will be fine.)

There is a question on the ILT. .