$In$ this problem,

$y=\frac{1}{x2+c}$

$is$ a one$-$parameter family $of$ solutions $of$ the first$-$order $DE$

$y\text{'}+2xy2=0.$

Find a solution $of$ the first$-$order IVP consisting $of$ this differential equation and the given initial condition.

$y(-3)=$

$1$

$4$

Find the domain $ofy$ considered $as$ a function over the reals. $(Enter$ your answer using interval notation.$)$

Give the largest interval I over which the solution $is$ defined for the given initial condition. $(Enter$ your answer using interval notation.$)$