Chapter 11.3, Problem 15P

To determine

To show: The solution $y=\varphi \left(x\right)$ of the problem $L\left[y\right]=f\left(x\right),{\alpha }_{1}y\left(0\right)+{\alpha }_2{y}^{\prime }\left(0\right)=a,{\beta }_{1}y\left(1\right)+{\beta }_2{y}^{\prime }\left(1\right)=b$ can be written as $y=u+v$, where u and v are solutions of the problems $L\left(u\right)$ and $L\left(v\right)$ respectively.