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

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- May 16th 2011, 07:25 AMVal92logistic 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 - May 16th 2011, 07:44 AMProve It
Use partial fractions.

- May 16th 2011, 07:44 AMHallsofIvy
Use "partial fractions".

$\displaystyle \frac{1}{x(1- x)}= \frac{A}{x}+ \frac{B}{1- x}$

for some constants A and B.

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