Results 1 to 2 of 2

Math Help - population growth differential eq.

  1. #1
    Junior Member
    Joined
    Oct 2008
    Posts
    70

    population growth differential eq.

    how does one solve the differential equation:

    dP/dt=aP^k?

    thanks!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor chisigma's Avatar
    Joined
    Mar 2009
    From
    near Piacenza (Italy)
    Posts
    2,162
    Thanks
    5
    First you write the DE as...

    \frac{dP}{P^{k}} = a\cdot dt

    ... and then you integrate both terms...

    Kind regards

    \chi \sigma
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. population growth with differential
    Posted in the Calculus Forum
    Replies: 2
    Last Post: May 12th 2009, 10:06 PM
  2. [SOLVED] population growth differential equation problem
    Posted in the Differential Equations Forum
    Replies: 2
    Last Post: February 10th 2009, 05:24 AM
  3. Population growth with non-constant growth factor
    Posted in the Differential Equations Forum
    Replies: 0
    Last Post: February 3rd 2009, 04:46 PM
  4. [HELP] Population Growth
    Posted in the Pre-Calculus Forum
    Replies: 8
    Last Post: October 27th 2008, 12:14 AM
  5. Population Growth
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: November 26th 2007, 04:38 AM

Search Tags


/mathhelpforum @mathhelpforum