Find the gradient field bold upper ffequals=gradient phi∇φ for the potential function phiφequals=x squared y minus y squared xx2y−y2x.

asked Aug 12, 2018 144k views

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$\varphi(x,y)=x^2y-y^2x\implies\\abla\varphi(x,y)=\mathbf f(x,y)=(2xy-y^2)\,\mathbf i+(y-2xy)\,\mathbf j$

Caleb Miller answered Aug 17, 2018

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