Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §15.3 Green’s Theorem, #40 · Multivariable Calculus · Green, Stokes & divergence

Since div … in Problem 39, we can solve … and

Since div $F = 0$ in Problem 39, we can solve $\partial g / \partial y =____$ and $\partial g / \partial x =____$ . The stream function is $g =____$ . It is the imaginary part of the same $(x + i y)^{3}$ . Check that $f$ and $g$ satisfy the Cauchy–Riemann equations.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §15.3 Green’s Theorem, #40

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