let be the function U=U(x,y) satisfying:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]U_{x}=(a/\epsilon)^{y}y [/tex] and [tex]U_{y}=(a/\epsilon)^{x}x[/tex] (1)

where we have introduced the notation [tex]U_{i}=dU/di [/tex] i=x,y then from expression (1) we could construct the differential equation:

[tex]xU_{x}-yU_{y}=0 [/tex] (2)

from (2) we could construct the solution to obtain U, my problem is how to obtain U so its derivatives respect to x and y give the result in (1)

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# Partial Differential equation problem

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