1. The problem statement, all variables and given/known data Find all singular points of xy"+(1-x)y'+xy=0 and determine whether each one is regular or irregular. 2. Relevant equations The answer is x=0, regular. 3. The attempt at a solution I know that x=0 since you set whatever is in front of y" to 0 and you solve for x, right? And I think you supposed to take the limit as x approaches to 0 but I don't know which function to take the limit of.