Consider the problem of a semi-infinite fluid subject to a constant shear at the interface. This can be caused, for instance, by a surface-tension gradient. Show that the following differential equation is applicable for the boundary layer:

\[3 f^{\prime \prime \prime}+2 f f^{\prime \prime}-\left(f^{\prime}\right)^{2}=0\]

State the boundary conditions. Use the program BVP4C to simulate the flow.