Consider the initial value problem

$t^2{y}^{\text{'}}2y=\frac{1}{t^2-16},y(-2)=1$

What is the largest interval on which a unique solution to this initial value problem is certain to exist?

A$)(-4,4)$

B$)(-4,0)$

C$)(0,4)$

D$)(-,0)$

E$)(-,)$