Frobenius Equation 1: Almost there

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Homework Statement


Hi :smile: I think I am making some good progress on this one, but I am unsure of what the next step is? Can someone give a nudge in the right direction?

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Any thoughts on this one? It is the Frobenius case where the roots of the indicial equation differ by an integer. I have used the larger root to find y1(x) and now I am
seeking y2(x) = k*y1(x)*ln(x) + Σdnxn+s1 where s1 is the smaller root that I found. I have to find the dn's and I also have that 'k' to deal with.