Find all Ordinary/Singular (Regular or Irregular) points of the following differential equations. Must show all work.
1) (21) " + (x +1) 6' – 3y = 0
2) (z? – 4)*," +3(x – 2)y' + 5y = 0
3) z* (z? – 25) (z – 2)," + 31(– 2)y' + 7(x + 5)y = 0
4) (x2 - 1)y" + 2xy' +6y=0
5) (2° +1 y" + xy' – y=0
6) r"y"+y=0
7) y," +"y"+y=0
8) y" + xy' +(In x) y = 0