Chapter 2.4, Problem 25P

Let $y=y_1\left(t\right)$ be a solution of

$y\text{'}+p\left(t\right)y=0$, (i) and let $y=y_2\left(t\right)$ be a solution of

$y\text{'}+p\left(t\right)y=g\left(t\right)$.(ii)

Show that $y=y_1\left(t\right)+y_2\left(t\right)$ is also a solution of Eq, (ii).