JEE Main | 2014Differential EquationHard
Question
Let the population of rabbits surviving at a time t be governed by the differential equation 
p(t) - 200. If p(0) = 100, then p(t) equals
p(t) - 200. If p(0) = 100, then p(t) equalsOptions
A.600 - 500 et/2
B.400 - 300 e-t/2
C.400 - 300 et/2
D.300 - 200 e-t/2
Solution
p(t) - 200
2 log
= t + c
Using given condition p(t) = 400 - 300 et/2
Create a free account to view solution
View Solution FreeMore Differential Equation Questions
The solution of x2dy - y2dx + xy2 (x - y)dy = 0 is -...The order and degree of the differential equation are...Let I be the purchase value of an equipment and V(t) be the value after it has been used for t years. The value V(t) dep...If y1(x) and y2(x) are two solutions of + f(x) y = r(x) then y1(x) + y2(x) is solution of :...The differential equation of all conics whose centre lie at the origin is of order -...