That's in Coddington and Levinson. You might try pages 58ff.
Dear all, I have got an problem that I have been confused about for more than three days.
Here is the problem:
Suppose that f(x,y) is a continous function on a plane domain R, and for each point , there is a unique integral curve to the following ode
Show then the solution to the above ode depends continuously on the initial data.