Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §15.3 Green’s Theorem, #41 · Multivariable Calculus · Green, Stokes & divergence

The real part … and imaginary part … of … satisfy the…

The real part $f$ and imaginary part $g$ of $(x + i y)^{n}$ satisfy the Laplace and Cauchy–Riemann equations for $n = 1, 2, \dots$ . (They give all the polynomial solutions.) Compute $f$ and $g$ for $n = 4$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §15.3 Green’s Theorem, #41

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