Left side:

Now that the variables are separated, we apply the integral operator to both sides.

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

y=-12x3+Cy equals the fraction with numerator negative 1 and denominator 2 x cubed plus cap C end-fraction Final Answer The general solution to the differential equation is is the constant of integration.

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