Question: The model below is known as the Gompertz differential equation and is sometimes used in the study of the growth of solid tumors. Verify that

The model below is known as the Gompertz differential equation and is sometimes used in the study of the growth of solid tumors. Verify that the indicated expression is an implicit solution of the given differential equation. Assume an appropriate interval I of definition for the solution.

\frac{d P}{d t} = P (1 - l n (P))

;

, l n (1 - l n (P)) = - t - 2

The model below is known as the Gompertz

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