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: Non linear second order diff eq

  1. Feb 3, 2009 #1
    I'm trying to find a substitution that works for the nonlin diffeq

    y''+a(y')^2-by=0

    Any suggestions?
     
  2. jcsd
  3. Feb 3, 2009 #2
    If you differentiate again, you get

    [tex] y^{'''} + 2ay^{'} \cdot y^{''} - b = 0 [/tex] right?

    If you let

    [tex] u = y^{'} [/tex] you get [tex] u^{''} + 2a u^{'}u - b = 0 [/tex]
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook