Series Solutions Near a Regular Singular Point | The Frobenius Method

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Hello, we start y’ and y” at 0 because of the factor x^r in y. If you want to convince yourself of this, you can expand y by writing out first few terms then find y’ and y’’ and you’ll see that these sums start at n=0. I hope this helps.

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why dont y' start at n=1 and y'' start at n=2?

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