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gradΛ=Α physic project in university [closed]

–2 votes

Hi guys! I have to solve this equation. Actually the professor needs us to find the $\Lambda$ and I don't know if my steps are right. Can someone help me please? I'm not a physics student, I'm a mathematician, so this kind of staff is too high level for me.

$A(x,y) = \nabla \Lambda(x,y)=\Lambda x + \Lambda y$
If $n=x-y, z=y$
$\lambda (z,n) = \Lambda (x,y)$
$\Lambda y = \lambda z - \lambda n, \Lambda x = \lambda n$
$\Rightarrow \lambda z(z,n) = \Lambda (n+z, z)$
$\Rightarrow \int^z_{z_0} \lambda z(\delta , n) d\sigma = \int^z_{z_0} f (n+\sigma,\sigma)\;d\sigma$
$\lambda (z,n)-\lambda (z_0,n)=\int^z_{z_0} f(n+\sigma ,\sigma ) \; d\sigma$
$\Rightarrow \Lambda (x,y) - \Lambda(x-y, y_0) = \int^y_{y_0} f(x-y+\sigma,\sigma)\; ds$
$\Rightarrow \Lambda(x,y) = \Lambda(x-y,y_0)+\int^y_{y_0} f(x-y+\sigma,\sigma)\;ds$

Thanks :)

closed with the note: Unclear what you're asking - please explain more of the context for the problem.
asked Dec 13, 2016 in Physics Problems by stephanie (100 points)
closed Dec 15, 2016 by heather
Welcome to the site, Stephanie. Your question seems to be a mathematics problem, not a physics problem. If you think it is physics, please can you explain what the problem is. Thanks.