Solve the equation.

StartFraction dy Over dx EndFractionequals$4$ x Superscript $4$ Baseline left parenthesis $2$ plus y squared right parenthesis Superscript three halves

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Part $1$

An implicit solution in the form

$$F$($x$,$y$)$equalsC

is

enter your response hereequals$$C$,$

where C is an arbitrary constant.

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