Problem #$1$: The best one can say, without actually solving the differential equation,

$x(x^{2}8x-105)y^{\text{'}\text{'}}8(x-2)y^{\text{'}}16y=0$

is that the radius of convergence of the power series solution about, $x_0=-5,$ is at least:

$($A$)10$

$($B$)$

$($C$)\frac{5}{2}$

$($D$)7$

$($E$)5$

Problem #$1$: $$