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 ▸

Solve the equation x^6 + 26x^3 − 27 = 0


Find dy/dx for y=5x^3-2x^2+7x-15


When Integrating by parts, how do you know which part to make "u" and "dv/dx"?


How to integrate by parts