Find the solution of

			Suppose the function y' = f(x,y) is defined and continuous on the rectangle R in the xy-plane.  Then given any point (x0,y0) contained in R, the initial-value problem y' = f(x, y) and y(x0) = y0 has a solution y(x) defined in an interval containing x0.  Furthermore, the solution will be defined at least until the solution curve x -> (x, y(x)) leaves the rectangle R.

			Can be found from the solution

			Example

			Could y(2) = 0?

			Show that the differential equation is exact, and find and graph solutions F(x,y) = C for C = {-3/2, -1, -1/2, 0, 1/2, 1, 3/2, 9/5}.  For C = 0, show that there is a value of yo for which there is not a unique solution to the initial-value problem.  Explain why there is no unique solution for that value of yo.

			Read pp. 77-86 of the text.

			Do exercises p. 86 (5,7,13,19).