Determine whether the given relation is an implicit solution to the given differential equation. Assume that the relationship does define y implicitly as a function of x and use implicit differentiation. 12x²y' + (y')³ siny-18 (y')² 3 4x² - 9y 4 sin y + 9xy - x* = 6, y'=- Applying implicit differentiation to the equation gives which 2 y" = 12x²y' + (y) ³ siny-18 (y)² 3 4x - 9y (Type an equation.) -. Therefore, sin y + 9xy - x* = 6 equivalent to a solution to the differential equation.

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