I'm having trouble solving the 2nd order ODE below. My trouble is that the indicial equation has double roots r=0. When I'm solving it I get y1=-Co which yeilds Co=0 and y2=0 I think I must be doing something wrong. Please help

xy''+(1-x)y'+y=0

Question

I'm having trouble solving the 2nd order ODE below. My trouble is that the indicial equation has double roots r=0. When I'm solving it I get y1=-Co which yeilds Co=0 and y2=0 I think I must be doing something wrong. Please help 

xy''+(1-x)y'+y=0

anonymous · Answer

BTW its solve using the frobenius method. I've never solved one with equal roots