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: Differential equations separation of variables

  1. Sep 20, 2006 #1

    EP

    User Avatar

    xdv/dx=(1-4v^2)/3v

    I used seperation of variables to get

    x/dx=(1-4v^2)/3v dv

    I'm not sure if thats even right.

    But if it is right, how do I integrate that?
     
  2. jcsd
  3. Sep 20, 2006 #2

    Integral

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    Your Separation of variables looks good, now a simple substitution finishes the job.
     
  4. Sep 20, 2006 #3
    You made a slight mistake with the variable seperation--- you can't have dx in the denominator! (Atleast, I've learnt not to do it)
    You should have done:
    xdv = (1-4v^2)/3v dx
    dx/x = 3v/(1-4v^2) dv
    Integration from there is pretty simple.... apply your initial conditions. :)
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook




Loading...
Similar Threads for Differential equations separation Date
Arbitrary constant in denominator Oct 28, 2016
Separable Differential Equation Sep 25, 2016
Separable differential equation Sep 25, 2016
Another Diff Eq's one: am I wrong? Jul 18, 2015
Differential Equations, Separable, Simplification of answer Jun 29, 2015