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.
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.
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