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A EDP doubt

  1. Apr 11, 2016 #1
    I have this EDP, [tex]uu_{\eta \eta } +u_{\eta }^2=0[/tex]
    and my solution for it, but I don't know if it's correct. Could you tell me if you do or do not agree with it?
    Here it's my solution:
    1)We can write the EDP as:
    [tex](uu_{\eta})_{\eta}=0 [/tex]
    2)Integrating:
    [tex]d(uu_{\eta})=0[/tex]
    [tex]uu_{\eta}=F(\xi )[/tex]
    where [tex]\xi [/tex] is another variable.
    3)If we separate variables and we integrate again, we obtain:
    [tex]u=\sqrt{2\eta F(\xi )+2G(\xi )}[/tex]
     
    Last edited: Apr 11, 2016
  2. jcsd
  3. Apr 11, 2016 #2
    Seems correct to me. Although I'm not sure why you say F(x) G(x), why are they dependent on the same variable? Why not just say F and G are constants?
     
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