Show that the families of curves \( \left.\begin{array}{r}x^{3}-3 x y^{2}=a \\ 3 x^{2} y-y^{3}=b...

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Show that the families of curves \( \left.\begin{array}{r}x^{3}-3 x y^{2}=a \\ 3 x^{2} y-y^{3}=b\end{array}\right\} \) are orthogonal.
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