Problem $2$:

Determine whether $x=0$ is a regular singular point of the differential equation

$8x^2{y}^{\text{'}\text{'}}+10x{y}^{\text{'}}+(x-1)y=0$

Problem $3$:

Find the general solution near $x=0$ of $3x^2{y}^{\text{'}\text{'}}-$

$x{y}^{\text{'}}+y=0$