Population growth projection Que ) Population grows in such a manner that [1/P(t) ] dP(t)/dt is a linear function of log P(t) where P(t) is the population size at time t . Obtain the explicit expression for P(t)*
In this question , We have to find the expression for the population function P(t)
My contribution
I have studied  force of mortality
Force of mortality at age x is defined as the ratio of instantaneous rate of decrease in value of l at age x ( number of persons living at any specified age x)  it is denoted by
μ  = - d( log l(at x )/dx .
It gives nominal annual rate of mortality
Now if we observe the question in same way can we say that the expression in question means opposite of mortality .
Please confirm the answer

Hint: You might be interested in using the log-differentiation rule:
$$\frac{d}{dt} \log P(t) = \frac{1}{P(t)} \frac{dP}{dt} (t).$$
Try setting this as a linear function of $\log P (t)$ and see where that gets you.
