Reserve Problem $6\mathrm{.}4\mathrm{.}2$R

The velocity potential for a particular inviscid flow field is $8xy$ and has units of $\frac{m^2}{s}.$ The positions $x$ and $y$ are measured in meters, and the fluid is water. Determine the corresponding stream function. Then determine the pressure difference in Pa between points $(0,0\mathrm{.}5)$ and $(0,2).$