- #1
manenbu
- 103
- 0
Homework Statement
prove that:
[tex]\vec{F} = \frac{-y^2}{(x-y)^2}\vec{i} + \frac{x^2}{(x-y)^2}\vec{j}[/tex]
is a conservative field, and find the potential in the domain:
[tex]D: (x+5)^2 + y^2 \leq 9[/tex]
Homework Equations
?
The Attempt at a Solution
Well,
[tex]\frac{\partial P}{\partial y} = \frac{\partial Q}{\partial x} = \frac{-2xy}{(x-y)^3}[/tex]
So is it conservative.
Also, the potential is:
[tex]f = \frac{xy}{x-y}[/tex]
which is correct according to my answer.
My question is - where does the domain come in? Why do I have it? I didn't use it while solving the problem.