The graphs of members of the one-parameter family x 3 + y 3 = 3cxy are called

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The graphs of members of the one-parameter family x3+ y3= 3cxy are called folia of Descartes. Verify that this family is an implicit solution of the first-orde differential equation

 У(у — 2х3) dy x(2y³ – x³)

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