** Final Answer

**

** Step-by-step Solution **

** Specify the solving method

**

**

Divide fractions $\frac{1}{\frac{1}{3y^2}}$ with Keep, Change, Flip: $a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}$

**

**

Integrate both sides of the differential equation, 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

**

**

Find the explicit solution to the differential equation. We need to isolate the variable $y$

** Final Answer

**