Consider the differential operator

L$=(5$x$^21)$xd$/$dx$+1/4(1+$x$^2)|2$d$^2/$dx$^2$

acting on functions defined on the interval$[1,1]$

Find the function $($x$)$ such that L:$=$L is in Sturm$-$Liouville form:

L$=$d$/$dx$($p$($x$)$d$/$dx$)$

i$.$e$.$ find the necessary integrating factor$($see $2\mathrm{.}4\mathrm{.}2$ of your notes$)$

$($x$)=$