Solve The Differential Equation. Dy Dx = 6x2y2 [extra Quality] -

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

Set (C = C_2 - C_1):

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

Since (C) is an arbitrary constant, we can rename it: [ \frac{1}{y} = -2x^3 - C ] Set

We are solving: