## Final Answer

## Step-by-step explanation

Problem to solve:

Group the terms of the differential equation. Move the terms of the $y$ variable to the left side, and the terms of the $x$ variable to the right side

Integrate both sides, the left side with respect to $y$, and the right side with respect to $x$

Solve the integral $\int3y^2dy$ and replace the result in the differential equation

Solve the integral $\int2xdx$ and replace the result in the differential equation

As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration $C$

Removing the variable's exponent