Consider the following IVP:

$($dy$)/($dx$)=$f$($x$,$y$),$y$(-3)=1$

$($i$)$ Find a function f$=$f$($x$,$y$)$ x$=-3.$

$($ii$)$ Modify the initial condition so that theorem will imply the existence, on some small interval

centered about the new initial point, of a unique solution to $()$ with the choice of f$($x$,$y$)$

you have made in part $($i$).$