A liquid of constant density \(ho\) and constant viscosity \(\mu\) flows down a wide, long inclined flat plate. The plate makes an angle \(\theta\) with the horizontal. The velocity components do not change in the direction of the plate, and the fluid depth, \(h\), normal to the plate is constant. There is negligible shear stress by the air on the fluid. Find the velocity profile \(u(y)\), where \(u\) is the velocity parallel to the plate and \(y\) is measured perpendicular to the plate. Write an expression for the volume flow rate per unit width of the plate.