a sufficient condition for uniqueness is the Lipschitz condition:(adsbygoogle = window.adsbygoogle || []).push({});

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On a domain D of the plane, the function f (x, y) is said to satisfy the Lipschitz condition for a constant k > 0 if:

|f(x,y1)−f(x,y2)|≤k|y1−y2|

for all points (x,y1) and (x,y2) in D.

Give an example of an IVP with two solutions on a domain (say, a rectangle) and show that the function f(x,y) appearing in the differential equation fails to be Lipschitz for any k > 0.

i really have no idea where to begin. Can i get a hint or a suggestion from someone?

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# Homework Help: Hint needed for lipschitz problem.

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