Q4:- Construct the following mathematical models :- 1) The time rate of change of a population P is propotional to the square root of Р. 2) In a city having a fixed population of P persons, the time...

Extracted text: Q4:- Construct the following mathematical models :- 1) The time rate of change of a population P is propotional to the square root of Р. 2) In a city having a fixed population of P persons, the time rate of change of the number N of those persons who have heard a certain rumor is proportional to the number of those who have not yet heard the rumor.