Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §15.3 Green’s Theorem, #26 · Multivariable Calculus · Green, Stokes & divergence

Show that … has zero divergence (except at …)

Show that $S / r^{2}$ has zero divergence (except at $r = 0$ ). Find a stream function by solving $\partial g / \partial y = y / (x^{2} + y^{2})$ . Does $g$ have trouble at the origin?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §15.3 Green’s Theorem, #26

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