Chapter 11.3, Problem 22E

In Problems 17 -24, (a) determine the normalized Eigenfunctions for the given problem and (b) use the results of part (a) to express $f\left(x\right)=x$ in an Eigen function expansion. (These are the same equations as in Problems 13 through 20 of Exercises 11.2 .)

$y^{″}+\lambda y=0$, $y\left(\pi \right)-2y^{\prime }\left(\pi \right)=0$, $y\left(0\right)=0$.