Consider a two dimensional laminar boundary$-$layer flow along a flat plate. Assume the velocity profile in the boundary layer as boundary conditions to evaluatea a$\_\{1\},$ a$\_\{1\},$ a$\_\{2\}$ H U infty $=$a $0+$a $1$ y$+$a $2$ y$^2.$ Using suitable Using Von$-$Karman momentum integral equation $($Don$\text{'}$t derive the integral equation$),$ find an expression for boundary layer thickness delta$($x$)$ and local wall shear stress, r$\_\{$x$\}($x$)$ x