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 ▸For y = 7x - x^3, find the two stationary points and what type of stationary points they are.
Sketch the graphs of y = f(x), y = g(x) and find the point(s) where f and g intersect.
Show that arctan(x)+e^x+x^3=0 has a unique solution.
How do we differentiate y = arctan(x)?