Answer
$${\text{Not separable}}$$
Work Step by Step
$$\eqalign{
& \frac{{dy}}{{dt}} = ty + 2 \cr
& {\text{The differential cannot be written in the form }}\frac{{dy}}{{dt}} = p\left( t \right)q\left( t \right) \cr
& {\text{Then }} \cr
& {\text{the differential equation is not separable.}} \cr} $$