Let the population of rabbits surviving at a time t be governed by the differential equation `(d p(t)/(dt)=1/2p(t)-200.` If `p(0)""=""100` , then p(t) equals

The population p(t) at a time t of a certain mouse species satisfies the differential equation (dp(t))/(dt)=0.5p(t)-450. If p(0)=850 . Then the time at which the population becomes zero is

The population p(t) at time t of a certain mouse species satisfies the differential equation (dp(t))/(dt)=0.5p(t)-450 If p(0)=850, then the time at which the population becomes zero is (1)2ln18(2)ln9 (3) (1)/(2)In18(4)ln18

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.

A population p(t) of 1000 bacteria introduced into nutrient medium grows according to the relation p(t)=1000+(1000t)/(100+t^2) . The maximum size of this bacterial population is equal to N then sum of the digits in N is

A population p(t) of 1000 bacteria inroduced into nutrient medium grows according to the relation p(t)=1000+(1000t)/(100+t^2) . The maximum size of this bacterial population is