Consider the flat-plate heat transfer to be solved by the similarity approach. Show all the details leading to Eq. (18.15). What are the boundary conditions on \(\theta\) ? Extend your MATLAB code to solve for both \(f\) and \(\theta\) simultaneously. Test your code for \(\operatorname{Pr}=3.0\) \(\left(\theta^{\prime}\right.\) at \(y=0\) should be 0.6860\()\). Calculate the Nusselt number. Compare your answer with the integral solution. Also do further calculations varying \(\operatorname{Pr}\) as a parameter and fit the slope as a function of the Prandtl number.

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e" + Prfe' = 0 (18.15)