Set (C = C_2 - C_1):
[ y = \frac{1}{-2x^3 - C} ]
[ \int 6x^2 , dx = 6 \cdot \frac{x^3}{3} + C_2 = 2x^3 + C_2 ]
Left side:
[ -\frac{1}{y} = 2x^3 + C ]
Solve The Differential Equation. Dy Dx = 6x2y2 ^hot^ May 2026
Set (C = C_2 - C_1):
[ y = \frac{1}{-2x^3 - C} ]
[ \int 6x^2 , dx = 6 \cdot \frac{x^3}{3} + C_2 = 2x^3 + C_2 ] solve the differential equation. dy dx = 6x2y2
Left side:
[ -\frac{1}{y} = 2x^3 + C ]