Let the population of ants surviving at a time t be governed by the differential equation d p t d t - p t = - 100 . If p 0 = 50 , then p - l n 2 is equal to

Step-by-step solution

d p t d t - p t = - 100 I.F. = e - ∫ d t = e - t e - t p t = 100 e - t + C Now P 0 = 50 ⇒ C = - 50 P - l n 2 = 100 – 50 e l n 1 2 = 100 – 25 = 75 .