Evaluate the displacement thickness (delta^{*}) and the momentum thickness (theta) for the profile given by (frac{u}{U}=2left(frac{y}{delta} ight)-left(frac{y}{delta}

Evaluate the displacement thickness \(\delta^{*}\) and the momentum thickness \(\theta\) for the profile given by \(\frac{u}{U}=2\left(\frac{y}{\delta}\right)-\left(\frac{y}{\delta}\right)^{2}\). Plot the nondimensional velocity profile and show the thicknesses \(\frac{\delta^{*}}{y}\) and \(\frac{\theta}{y}\) on the plot. Does this expression satisfy the boundary conditions applicable to a laminar boundary layer?