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

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

If y(t) satisfies the differential equation y'(t)+2y(t)=2e^(-2t),y(0)=2 then y(1) equals

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