Past exam of the mathematics course of the University of Cambridge / 2010 / ii / Paper 1 / 37A / i / Solution

The steady rectilinear equation is $u^{\prime \prime }(y)=-G$, with no-slip conditions $u(0)=0$ and $u(a)=U$. Two integrations give the Couette-Poiseuille flowThe first term is driven by the moving wall and the second by the specified pressure gradient.