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
Answered by Scott W. Maths tutor

3438 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How would you differentiate the term 3x^3-2x^2+x-10


Find the finite area enclosed between the curves y=x^2-5x+6 and y=4-x^2


Integrate dy/dx = 2x/(x^2-4)


theta = arctan(5x/2). Using implicit differentiation, find d theta/dx.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning