This problem is a very simple example of a differential equation: an equation that relates a...

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This problem is a very simple example of a differential equation: an equation that relates a function to one or more of its derivatives. You can solve this problem by doing some educated guessing. ("educated" means "remember what we did in the past.") Suppose f is the function that satisfies for all x in its domain, and Then f(x) = -0 f'(x) = -f²(x) ƒ(1) = 1. This problem is a very simple example of a differential equation: an equation that relates a function to one or more of its derivatives. You can solve this problem by doing some educated guessing. ("educated" means "remember what we did in the past.") Suppose f is the function that satisfies for all x in its domain, and Then f(x) = -0 f'(x) = -f²(x) ƒ(1) = 1.

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