I have this EDP, [tex]uu_{\eta \eta } +u_{\eta }^2=0[/tex](adsbygoogle = window.adsbygoogle || []).push({});

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]

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# A EDP doubt

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