Question: In Problems 2 1 - 2 4 verify that the indicated family of functions is a solution of the given differential equation. Assume an appropriate

In Problems

21 - 24

verify that the indicated family of functions is a solution of the given differential equation. Assume an appropriate interval I of definition for each solution.

21 . \frac{d P}{d t} = P (1 - P)

;

, P = \frac{c_{1} e^{t}}{1 + c_{1} e^{t}}

In Problems 2 1 - 2 4 verify that the indicated

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