7. Does the existence and uniqueness theorem apply to the differential equation y ‘ = | y |? 8….

7.          Does the existence and uniqueness theorem apply to the differential equation y' = |y|?

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8.          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).

9.           Consider y' = Ay(1 – y), where A is a parameter. Find all equilibrium points and determine their type.

10.      What is the actual behavior of solutions of

 

y ' = 1+ y ?

1- y