- #1
Carmen_8
- 5
- 0
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]
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: