- #1
eljose
- 484
- 0
let be the function U=U(x,y) satisfying:
U_{x}=(a/\epsilon)^{y}y and U_{y}=(a/\epsilon)^{x}x (1)
where we have introduced the notation U_{i}=dU/di i=x,y then from expression (1) we could construct the differential equation:
xU_{x}-yU_{y}=0 (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)
U_{x}=(a/\epsilon)^{y}y and U_{y}=(a/\epsilon)^{x}x (1)
where we have introduced the notation U_{i}=dU/di i=x,y then from expression (1) we could construct the differential equation:
xU_{x}-yU_{y}=0 (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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