Solve the equation.

$(3$ x squared$)$dxplus$($y squared minus $4$ x cubed y Superscript negative $1)$dyequals$0$

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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, and

$$

no solutions were lost

the solution x equals $0$ was lost

the solution y equals $0$ was lost

by multiplying by the integrating factor.

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