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(Solved): 9. Obtain the solution of the Gompertz growth model by solving the differential equation \[ \frac{ ...
9. Obtain the solution of the Gompertz growth model by solving the differential equation \[ \frac{d x}{d t}=r x \ln \left(\frac{k}{x}\right), x(0)=x_{0}, \] analytically. Hence, obtain the limiting value of \( x(t) \) as \( t \rightarrow \infty \).