$).$ Solve the IVP or ODE a$).$ dy$/$dx $=($y $2$

$-1)/($x $2$

$-1)$ y$(2)=2$ b$).$ x y$=$ y $2+$ y

ii$).$ A culture initially has P o number of bacteria. At t $=1$ h$,$ the number of bacteria is measured to

be $(4/3)$ Po$.$ If the rate of growth is proportional to the number of bacteria P$($t$)$ present at time t$,$

determine the time for the number of bacteria to quadruple