The population p of a certain bacteria decreases at a rate proportional to the population p. The differential equation corresponding to the above statement is ____________.

The amount present in a radio active element disintegrates a rate proportional to its amount the differntial equation corresponding to the above statement is (k is negative )

Express each of the following physical statements in the form of differential equation. (ii) The population P of a city increases at a rate proportional to the product of population and to the difference between 5,00,000 and the population.

The population of a city increases at the rate 3% per year. If at time t the population of city is p, then find equation of p in time t.

The population of a city increases at the rate 3% per year. If at time t the population of city is p, then find equation of p in time t.

The population of a city increases at the rate 3% per year. If at time t the population of city is p, then find equation of p in time t.

The population P in any year t is such that the rate of increase in the population is proportional to the population. Then

The population of a city increase at a rate proportional to the population at that time. In 40 years the population is increased from 30,000 to 40,000 then after time t, the population is