$2-16.$ Consider the plane, incompressible, Cartesian stream function in the region $0y$ :

$=ax+by+\frac{b}{c}{e}^{-cy}$

where $(a,b,c)$ are positive constants. $($a$)$ Determine if this is an exact solution to the continuity and Navier$-$Stokes equations if gravity and the pressure gradient are neglected. $($b$)$ What are the dimensions of $(a,b,c)?($c$)$ If $y=0$ represents a wall, does the no$-$slip condition hold there? $(d)$ Is there any vorticity in the flow field? If so$,$ what is its form?

i want a detailed solution