Show that Eqs. 8.6.51 follow from the preceding equations.
\begin{array}{l}u=\frac{\partial \psi}{\partial y}=U_{\infty} F^{\prime}(\eta) \\v=-\frac{\partial \psi}{\partial x}=\frac{1}{2} \sqrt{\frac{\nu U_{\infty}}{x}}\left(\eta F^{\prime}-F\right)\end{array} (8.6.51)