Chapter 6.1, Problem 95E

To determine

To Prove: $\left|f(x)\right|$ is bounded “If f be a twice-differentiable real-valued function satisfying the equation $f\left(x\right)+f^{″}\left(x\right)=-xg\left(x\right)f^{\prime }\left(x\right)$, where $g\left(x\right)>0$ for all real x”