Solve The Differential Equation. Dy Dx = 6x2y2 ((top)) May 2026

[ \int y^{-2} , dy = -y^{-1} + C_1 = -\frac{1}{y} + C_1 ]

[ \boxed{y(x) = \frac{1}{C - 2x^3}} ]

Left side:

[ \frac{dy}{dx} = 6x^2 y^2 ]

Right side:

[ y = \frac{1}{C - 2x^3} ]

We are solving: