Question: A flow field is represented by the stream function (psi=x^{5}-) (15 x^{4} y^{2}+15 x^{2} y^{4}-y^{6}). Find the corresponding velocity field. Show that this flow field

A flow field is represented by the stream function $\psi=x^{5}-$ $15 x^{4} y^{2}+15 x^{2} y^{4}-y^{6}$. Find the corresponding velocity field. Show that this flow field is irrotational and obtain the potential function.

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