Let the population of ants surviving at a time `t` be governed by the differential equation `d(p(t))/dt-p(t)=-100`. If `p(0)=50` , then find the value of `p(-ln2)`

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

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

If for an A.P., d=10 , what is the value of t_(6)-t_(2) ?

If p(t)=t^(3)-1 f ind the values of p(1),p(-1),p(0),p(2),p(-2)