Question

(x³+3xy²)dy/dx=y³+3x²y?

Answer 1

$\bf \fbox{GIVEN} \downarrow$

$({x}^{3} + 3 x {y}^{2} ) \frac{dy}{dx} = {y}^{3} + 3 {x}^{2} y \\ \\ \frac{dy}{dx} = \frac{ {y}^{3} + 3 {x}^{2} y}{{x}^{3} + 3 x {y}^{2}}$