Solve The Differential Equation. Dy Dx = 6x2y2 Fix Official

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

Set (C = C_2 - C_1):

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

[ \frac{1}{y^2} , dy = 6x^2 , dx ]

Right side:

Left side:

Rewrite the equation so that all (y)-terms are on one side and all (x)-terms are on the other: solve the differential equation. dy dx = 6x2y2

[ \int 6x^2 , dx = 6 \cdot \frac{x^3}{3} + C_2 = 2x^3 + C_2 ]