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Which function f solves f' = 1 - f² with f(0) = 0?

Aarctan x
Btanh x
Csech x
Dsinh x
Answer & Solution
Correct answer: B. tanh x
Since d/dx tanh x = 1 - tanh^2 x and tanh 0 = 0, tanh x is the unique solution.
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