1. Not finding help here? Sign up for a free 30min 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!

Homogenous differential equation

  1. Oct 4, 2011 #1
    1. The problem statement, all variables and given/known data[/b

    so I am given a known homogeneous differential equation dy/dx=(y^2+x*sqrt(x^2+y^2))/xy


    2. Relevant equations
    now I know that you have to separate in to some form of y/x which then you can change into v and solve the differential equation but I am having trouble


    3. The attempt at a solution
    I just can't figure out how to get it in the appropriate form in order to simplify
     
  2. jcsd
  3. Oct 4, 2011 #2

    LCKurtz

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Let y = ux, y' = u'x + u. Work it out and show us what happens.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook