1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Please i need some help in Partial Fractions

  1. Nov 13, 2005 #1
    Partial Fractions:
    A single infected individual enters a comunnity of n susceptible individuals. Let x be the number of newly infected individuals at time t. The common epidemic model assumes that the disease spreads at a rate proportional to the product of the total number infected and the number not yet infected.So
    [tex] \frac {dx} {dt} = k(x+1) (n-x) [/tex] and you obtain [tex] \int\frac {1} {(x+1)(n-x)} dx = \int k dt [/tex] I need to know how to set up the problem and then work from there.

    Any suggestions.
    Last edited: Nov 13, 2005
  2. jcsd
  3. Nov 13, 2005 #2


    User Avatar
    Science Advisor
    Homework Helper

    You have already "set up" the problem.

    I think you're looking for this:

    [tex]\frac {1}{(x+1)(n-x)} = \frac {1}{n+1} \left( \frac {1}{x+1} + \frac {1}{n-x}\right)[/tex]
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook