Suppose that y(x) is a nonconstant solution of the autonomous equation dydx f ( y) and that c is a critical point of the DE. Discuss. Why cant the graph of y(x) cross the graph of the equilibrium solution y c? Why cant f ( y) change signs in one of the subregions discussed on page 38? Why cant y(x) be oscillatory or have a relative extremum (maximum or minimum)?

Week Nine: Tuesday, 22 March 2015 Cardiovascular Disease I. Are you at risk a. Many people are unaware of basic risk factors for heart disease and how to spot potential trouble. b. 80-90% of Cardiovascular Disease and Cancer can be avoided through lifestyle choices...