Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §15.3 Green’s Theorem, #28 · Multivariable Calculus · Green, Stokes & divergence

If … then the equations … and … yield a stream function

If $M_{x} + N_{y} = 0$ then the equations $\partial g / \partial y =____$ and $\partial g / \partial x =____$ yield a stream function. If also $N_{x} = M_{y}$ , show that $g$ satisfies Laplace's equation.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §15.3 Green’s Theorem, #28

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