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.
That's in Coddington and Levinson. You might try pages 58ff.