2. Find all singular points of the following equations and determine whether each one is regular or irregular. (a) ry" + (1 – z)y' + cy = 0; (b) r²(1 – x)°y" + 2æy +4y = 0; (c) zy" +e"y +3 cos(z)y =...

Extracted text: 2. Find all singular points of the following equations and determine whether each one is regular or irregular. (a) ry" + (1 – z)y' + cy = 0; (b) r²(1 – x)°y" + 2æy +4y = 0; (c) zy" +e"y +3 cos(z)y = 0; (d) y"+In |r|y +3xy = 0. (Hint: In |e| is not a polynomial, you will need to use the original definition to find the singular points.)