Solved: a function y D g.x/ is describedby some geometric property of its graph. Write a

Chapter 3, Problem 29

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a function y D g.x/ is describedby some geometric property of its graph. Write a differentialequation of the form dy=dx D f .x; y/ having the function g asits solution (or as one of its solutions).. Every straight line normal to the graph of g passes throughthe point .0; 1/. Can you guess what the graph of such afunction g might look like?

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