Chapter 4, Problem 9RE

To determine

To-fill: Fill in the blanks of, “ If $y_{p1}=x$ is a particular solution of $y^{″}+y=x$ and $y_{p2}=x^2-2$ is a particular solution of $y^{″}+y=x^2$, then a particular solution of $y^{″}+y=x+x^2\text{ is }\_\_\_\_\_\_.$”