In 2124, verify that the indicated family of functions is a solution of the given

Chapter 1, Problem 21

(choose chapter or problem)

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.

\(\frac{d P}{d t}=P(1-P) ; \quad P=\frac{c_{1} e^{t}}{1+c_{1} e^{t}}\)

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