Solve the equation.

left parenthesis x Superscript $4$ Baseline plus $6$ x Superscript $4$ Baseline y squared right parenthesis dx plus e Superscript x Super Superscript $5$ Baseline ydyx$4+6$x$4$y$2$dx$+$ex$5$ydyequals$=0$

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Part $1$

An implicit solution in the form

$$F$($x$,$y$)$equals$=$C

is

enter your response hereequals$=$C$,$

where C is an arbitrary constant.

$($Type an expression using x and y as the$$ variables.$)$