if $2f(x)+f''(x)=-xf'(x)$ show that $f(x)$and $f'(x)$ are bounded on $R$

Assume that $f$ is twice diffentiable on $R$,and such

$$2f(x)+f”(x)=-xf'(x)$$

show that:

$f(x)$and $f'(x)$ are bounded on $R$

My try:since
$$2f(x)+f”(x)+xf'(x)=0$$
and following I can’t any work,Thank you very much!

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