1. Does the existence and uniqueness theorem apply to the differential equation y' = |y|?
2. Consider y'= y2 - A, where A is a parameter. Find all equilibrium points and determine their type (your answer will, of course, depend on A).
3. Consider y' = Ay(1 - y), where A is a parameter. Find all equilibrium points and determine their type.
4. What is the actual behavior of solutions of y' = 1+ y ? 1- y