We are given the implicit equation:

$sin(y)xy-x^3=5$

We need to apply implicit differentiation to this equation and show how it leads to the differential equation:

$y^{\text{'}}=\frac{6xy{y}^{\text{'}}4(y^{\text{'}}{)}^{3}sin(y)}{3x^2-y}-2(y^{\text{'}}{)}^2$