1. The problem statement, all variables and given/known data 6x2(x+1)2y''+0.5x(x+2)y'+y=0 ii) Find all values of r for which there is a series solution of form xr[tex]\sum[/tex](anxn,n=0,inf) a0 [tex]\neq[/tex]0 Find all values of r for which there is a series solution of form inf xr[tex]\sum[/tex]an(x-2)n n=0 a0 [tex]\neq[/tex]0 Do not try to solve the problem, just find the values of r without solving for any constants. 2. Relevant equations 3. The attempt at a solution What I tried to do was finding the indicial equation. For the first one I got 2 indicial equations, so I got 4 answers. Does it make sense ? r=1/2 r=1/3 r=0 r=23/24 Also, if I try to reach the Eular equation, I get only the first two, but not the last two. Have I made any mistakes ? And, I didn't know how to do the second one. Actually, I can do it but it would take me ages, so I believe there is a way to find r's without trying to reach the indicial equation. Maybe I can try and reach the Eular equation? Thanks, Roni.