Consider the initial value problem $\{$d$3$ydt$3+1$t$4$d$2$ydt$2+$yt$=0$y$(1)=1,$y$(1)=2,$y$(1)=14$

What is the largest interval on which we are guaranteed to have a unique solution?

$($a$)$

$(0,$$)$

$($b$)$

$($$,$$)$

$($c$)$

$(0,4)$

$($d$)$

$($$,4)$

$($e$)$

$(14,1)$

Save onlySave & Grade $2$ attempts left