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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]
     
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