$(2$ points$)$

Determine the singular points of the differential equation

$($x$27$x$8)$y$$xy$+$y$=0($x$27$x$8)$y$$xy$+$y$=0$

x$1=$x$1=$ ; x$2=$x$2=($Hint: Enter your answers such that x$1$x$2$x$1$x$2)$

Without actually solving the given DE$,$ find a lower bound for the radius of convergence of power series solutions about the ordinary point x$=4$x$=4.$

The lower bound for the radius of convergence of power series solutions is R$=$R$=$