Question: In Problems 27 through 31, a function y = g(x) is described by some geometric property of its graph. Write a differential equation of the

In Problems 27 through 31, a function y = g(x) is described by some geometric property of its graph. Write a differential equation of the form dy/dx = f (x, y) having the function g as its solution (or as one of its solutions).

The graph of g is normal to every curve of the form y = x2 + k (k is a constant) where they meet.

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