Can you solve for a$,$ b$,$ c$,$ and d

An incompressible, viscous fluid $($density $,$ viscosity $)$ flows steadily between two parallel plates, separated by a distance $h.$ The bottom plate is at rest and the top plate moves with a velocity $u,$ parallel to the plates. In addition, there is a pressure gradient $d\frac{p}{d}x=-\frac{p}{L}($pressure decreases from left to right uniformly$).$

a$)$ Determine the velocity $v$ of the fluid as a function of $y.$

Hint $=$ integrate the equation $\frac{dp}{dx}=\frac{d^{2}v}{d{y}^2},$ and determine the two integration constants from the velocity boundary conditions at the plates.

b$)$ Determine the shear stress $($frictional force per area of a plate$)$ on the bottom plate.

Hint $==\frac{dv}{dy}$ at that plate.

c$)$ Determine the volume flowrate.

Hint $=Q=w{\displaystyle \underset{0}{\overset{h}{}}}vdy,$ where $w$ is the width of the plates $($along ${?}^0$ the $z-$axis$).$

d$)$ For what value of $u,Q_n=t=0?$