Use the substitution

y equals x Superscript ry$=$xr

to find a general solution to the given equation for

x greater than $0$x$>0.$

x squared y double prime left parenthesis x right parenthesis plus $12$ xy prime left parenthesis x right parenthesis plus $28$ y left parenthesis x right parenthesisx$2$y$($x$)+12$xy$($x$)+28$y$($x$)$equals$=0$

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Part $1$

y left parenthesis x right parenthesisy$($x$)$equals$=$enter your response here

$($Type an exact$$ answer, using radicals as$$ needed.$)$