— Lemma

MediumGreen, Stokes & divergence

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §15.3 Green’s Theorem, #32 · Multivariable Calculus · Green, Stokes & divergence

Compute the divergence of each field and solve $g_{y} = M$ and $g_{x} = - N$ for a stream function (if possible).

$y^{2} i + x^{2} j$

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §15.3 Green’s Theorem, #32

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