Readings
Read chapters 11 and 12 in Chance and Chaos and the lecture notes about deterministic evolution with continuous time.
Homework 5
Due Monday March 1
Using the method of constant of motion, study the phase curves for the following ordinary differential equations:
i)
hint: show that x/y is a constant of motion.
ii)
hint: show that xy is a constant of motion.
iii)
hint: show that 
is a constant of motion.
In each case, draw a few phase curves (this means select a few values for the constants of motion) and pick a few points on these curves. At each of these points check that the tangent vectors defined by the differential equations are really tangent to the curves.