Solve The Differential Equation. Dy Dx = 6x2y2 -
[ -\frac{1}{y} = 2x^3 + C ]
[ y = \frac{1}{C - 2x^3} ]
Set (C = C_2 - C_1):
[ \int y^{-2} , dy = -y^{-1} + C_1 = -\frac{1}{y} + C_1 ]
[ \boxed{y(x) = \frac{1}{C - 2x^3}} ]
[ \frac{1}{y} = -2x^3 - C ]
[ \frac{dy}{dx} = 6x^2 y^2 ]
Left side:
