$1-03(4$pt$)$: In a certain incompressible, two$-$dimensional flow field, the velocity component in the $\backslash ($ y $\backslash )-$direction is given by:

$\backslash [$

v$=3$ x y$-$x$^\{2\}$ y

$\backslash ]$

where $\backslash ($ v $\backslash )$ is the velocity in the $\backslash ($ y $\backslash )-$direction, and $\backslash ($ x $\backslash )$ and $\backslash ($ y $\backslash )$ are the spatial coordinates. determine the expression for the velocity component $\backslash ($ u $\backslash )$ in the $\backslash ($ x $\backslash )-$direction.