
Differential Equations Ordinary and Partial Differential Equations Math Forum 
 LinkBack  Thread Tools  Display Modes 
February 6th, 2017, 08:38 AM  #1 
Newbie Joined: Feb 2017 From: London Posts: 1 Thanks: 0  Differential help
Hi there! I am trying to write a project to model the spread of rumours and have reached a step involving proving an integration in a differential. Could anyone help to give a value for S? dS/dt=kS(MS) where k and M are constants Thanks in advance! 
February 6th, 2017, 09:03 AM  #2  
Math Team Joined: Jul 2011 From: Texas Posts: 2,546 Thanks: 1259  Quote:
$\dfrac{dS}{S(MS)} = k \, dt$ partial fraction decomposition ... $\displaystyle \int \bigg[\dfrac{1}{S} + \dfrac{1}{MS}\bigg] \, dS = \int kM \, dt$ Solve for $S$ from this step? $S(t)$ will be a logistic function ...  

Tags 
differential, integration 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Differential  Hamid  Differential Equations  7  October 28th, 2014 03:15 AM 
Partial Differential Differential Equations  rishav.roy10  Differential Equations  0  August 21st, 2013 05:59 AM 
Differential  aise5668  Differential Equations  2  February 17th, 2012 02:49 PM 
Differential eqn.  numerik  Differential Equations  4  November 21st, 2011 03:49 AM 
differential  alpacino  Differential Equations  3  February 24th, 2009 03:15 PM 