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. 4 sin y + xy - x³ = 9, y'' = 20x³y' +4(y) ³ siny-2 (y')² 4 5x² - y Applying implicit differentiation to the equation gives which 20x³y' +4(y')³ siny-2(y)² 5x²-y Therefore, 4 sin y + xy - x³ = 9 y" = (Type an equation.) equivalent to a solution to the differential equation.

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