Question Number 169807 by Mastermind last updated on 09/May/22
$${Given}\:{that}\:{U}={x}^{\mathrm{4}} −\mathrm{6}{x}^{\mathrm{2}} {y}^{\mathrm{2}} +{y}^{\mathrm{4}} ,\:{find} \\ $$$${v}\:{and}\:{w}\:{such}\:{that}\:{w}={u}+{iv}\:{is}\:{analytic} \\ $$$$ \\ $$$${Mastermind} \\ $$