3) A researcher has collected population data along with time. Afler comparing the populations from consecutive times, he finds out the population is increasıng and also that in the early slages, the...

Extracted text: 3) A researcher has collected population data along with time. Afler comparing the populations from consecutive times, he finds out the population is increasıng and also that in the early slages, the rate of change of the population (derivative with respect to time) is proportional to the population itself aj Find an equation describing this situation. What can you say regarding the coefficient of proportionality (positive or negative)? Explain. b) The rescarcher decides to make a corroction to this cquation by subtracting a constant (the rate of change of the population with respect to time becomes proportional to the population itself minus a constant). Give an expression for the general solution of this equalion.