Existence, Uniqueness & Bifurcations · Hard problem

The equation $t\,y' = 2y$ fails the hypotheses of the existence and uniqueness theorem at $t = 0$. A function $y(t)$ is differentiable on all of $\mathbb{R}$, satisfies $t\,y' = 2y$ for every real $t$, and has $y(1) = 3$ and $y(-1) = 5$. Find $y(2) + y(-2)$.