Thread: logistic growth equation

Hi, I came across the following differential equation:


dx(t)/dt=rx(t)*(1-(x(t)/K))


I am not to sure how to solve it. If i separate the variables i get:

dx(t)/[rx(t)*(1-(x(t)/K))]=dt

I dont know how to integrate this

THanks for you help

Use partial fractions.

Use "partial fractions".

for some constants A and B.

I suggest you leave r on the right side of the equation with dt.