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

Left side:

We are solving:

Set (C = C_2 - C_1):

Rewrite the equation so that all (y)-terms are on one side and all (x)-terms are on the other:

[ \int 6x^2 , dx = 6 \cdot \frac{x^3}{3} + C_2 = 2x^3 + C_2 ] solve the differential equation. dy dx = 6x2y2

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

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

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