Solve The Differential Equation. Dy Dx = 6x2y2 ⭐

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

Set (C = C_2 - C_1):

[ \int y^{-2} , dy = \int 6x^2 , dx ]

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

[ \int 6x^2 , dx = 6 \cdot \frac{x^3}{3} + C_2 = 2x^3 + C_2 ] Left side: Rewrite the equation so that all