#### Answer

$${\text{false}}$$

#### Work Step by Step

$$\eqalign{
& \frac{{dy}}{{dx}} = {x^2} + 4{y^2} \cr
& {\text{the differential equation cannot be written in the form}} \cr
& q\left( y \right)dy = p\left( x \right)dx \cr
& {\text{thus, the statement is false}}{\text{. It is not possible solve it using the method of}} \cr
& {\text{separation of variables}}{\text{.}} \cr} $$