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

3527 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Determine whether the line with equation 2x+ 3y + 4 = 0 is parallel to the line through the points with coordinates (9, 4) and (3, 8).


How do you integrate ln(x) with respect to x?


Do y=3x^2+5x+12 and y=3x-8 intercept with each other? If yes, at which point(s)?


Show that the line y = x - 7 does not meet the circle (x + 2)^2 + y^2 = 33.


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