Suppose a population of size x experiences growth at a rate of dx/dt = kx where t is time measured in minutes and k is a constant. At t=0, x=xo. If the population doubles in 5 minutes, how much longer does it take for the population to reach triple of Xo.
2.925 minutes This question involves solving a first order differential equation via the separation of variables and then substituting in initial conditions in order to find a particular solution. Something akin to it may show up in your A Level Maths exam.
SW
Related Maths A Level answers
All answers ▸Show that sqrt(27) + sqrt(192) = a*sqrt(b), where a and b are prime numbers to be determined
C1 - Simplifying a fraction that has a root on the denominator
The second and fifth terms of a geometric series are 750 and -6 respectively. Find: (1) the common ratio; (2) the first term of the series; (3) the sum to infinity of the series
2 equations intersect each other, y = x + 2 and y = x^2. Find the area of the shaded region between the points of intersection giving your answer to 3 significant figures. (shaded region will be shown)