The stream function of a flow field is (psi=A x^{3}-B x y^{2}), where (A=1 mathrm{~m}^{-1} cdot mathrm{s}^{-1})

Question:

The stream function of a flow field is $\psi=A x^{3}-B x y^{2}$, where $A=1 \mathrm{~m}^{-1} \cdot \mathrm{s}^{-1}$ and $B=3 \mathrm{~m}^{-1} \cdot \mathrm{s}^{-1}$, and coordinates are measured in meters. Find an expression for the velocity potential.

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