(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

2x(x−1)y''+3(x−1)y'−y=0,

which has a regular singular point at x=0.

Find the indicial equation at x = 0.

2. Relevant equations

y= x^r

y' = r(x^(r-1))

y'' = r(r-1)(x^(r-2))

3. The attempt at a solution

I tried replacing the equation with the relevant equations, but am not sure what to do with the x-1.

The correct answer to this is r^2-0.5r, I'm not sure how to get to it though, can somebody please give me a hint as to how to solve this?

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Indicial Equation Help

Can you offer guidance or do you also need help?

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